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Finding the Third Proportional to 95,569 and 202,531

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Solution

The third proportional to 95,569 and 202,531 is: 429,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,569 : 202,531 = 202,531 : x
  2. Step 2: Convert to fraction form
    95,569/202,531 = 202,531/x
  3. Step 3: Cross multiply
    95,569x = 202,531 × 202,531
  4. Step 4: Simplify right side
    95,569x = 41,018,805,961
  5. Step 5: Solve for x
    x = 41,018,805,961/95,569
  6. Step 6: Final answer
    x = 429,206.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.