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Finding the Third Proportional to 59,606 and 129,464

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Solution

The third proportional to 59,606 and 129,464 is: 281,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,606 : 129,464 = 129,464 : x
  2. Step 2: Convert to fraction form
    59,606/129,464 = 129,464/x
  3. Step 3: Cross multiply
    59,606x = 129,464 × 129,464
  4. Step 4: Simplify right side
    59,606x = 16,760,927,296
  5. Step 5: Solve for x
    x = 16,760,927,296/59,606
  6. Step 6: Final answer
    x = 281,195.30

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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.