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Finding the Third Proportional to 29,107 and 62,029

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Solution

The third proportional to 29,107 and 62,029 is: 132,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,107 : 62,029 = 62,029 : x
  2. Step 2: Convert to fraction form
    29,107/62,029 = 62,029/x
  3. Step 3: Cross multiply
    29,107x = 62,029 × 62,029
  4. Step 4: Simplify right side
    29,107x = 3,847,596,841
  5. Step 5: Solve for x
    x = 3,847,596,841/29,107
  6. Step 6: Final answer
    x = 132,188.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.