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Finding the Third Proportional to 75,609.75 and 114,022.13

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Solution

The third proportional to 75,609.75 and 114,022.13 is: 171,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,609.75 : 114,022.13 = 114,022.13 : x
  2. Step 2: Convert to fraction form
    75,609.75/114,022.13 = 114,022.13/x
  3. Step 3: Cross multiply
    75,609.75x = 114,022.13 × 114,022.13
  4. Step 4: Simplify right side
    75,609.75x = 13,001,044,989.52
  5. Step 5: Solve for x
    x = 13,001,044,989.52/75,609.75
  6. Step 6: Final answer
    x = 171,949.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.