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Finding the Third Proportional to 75,061 and 160,610

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Solution

The third proportional to 75,061 and 160,610 is: 343,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,061 : 160,610 = 160,610 : x
  2. Step 2: Convert to fraction form
    75,061/160,610 = 160,610/x
  3. Step 3: Cross multiply
    75,061x = 160,610 × 160,610
  4. Step 4: Simplify right side
    75,061x = 25,795,572,100
  5. Step 5: Solve for x
    x = 25,795,572,100/75,061
  6. Step 6: Final answer
    x = 343,661.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.