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Finding the Third Proportional to 59,938 and 131,396

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Solution

The third proportional to 59,938 and 131,396 is: 288,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,938 : 131,396 = 131,396 : x
  2. Step 2: Convert to fraction form
    59,938/131,396 = 131,396/x
  3. Step 3: Cross multiply
    59,938x = 131,396 × 131,396
  4. Step 4: Simplify right side
    59,938x = 17,264,908,816
  5. Step 5: Solve for x
    x = 17,264,908,816/59,938
  6. Step 6: Final answer
    x = 288,046.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.