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Finding the Third Proportional to 59,146 and 129,742

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Solution

The third proportional to 59,146 and 129,742 is: 284,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,146 : 129,742 = 129,742 : x
  2. Step 2: Convert to fraction form
    59,146/129,742 = 129,742/x
  3. Step 3: Cross multiply
    59,146x = 129,742 × 129,742
  4. Step 4: Simplify right side
    59,146x = 16,832,986,564
  5. Step 5: Solve for x
    x = 16,832,986,564/59,146
  6. Step 6: Final answer
    x = 284,600.59

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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.