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Finding the Third Proportional to 75,061.13 and 163,243.13

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Solution

The third proportional to 75,061.13 and 163,243.13 is: 355,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,061.13 : 163,243.13 = 163,243.13 : x
  2. Step 2: Convert to fraction form
    75,061.13/163,243.13 = 163,243.13/x
  3. Step 3: Cross multiply
    75,061.13x = 163,243.13 × 163,243.13
  4. Step 4: Simplify right side
    75,061.13x = 26,648,317,859.77
  5. Step 5: Solve for x
    x = 26,648,317,859.77/75,061.13
  6. Step 6: Final answer
    x = 355,021.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.