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Finding the Third Proportional to 29,342 and 61,060

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Solution

The third proportional to 29,342 and 61,060 is: 127,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,342 : 61,060 = 61,060 : x
  2. Step 2: Convert to fraction form
    29,342/61,060 = 61,060/x
  3. Step 3: Cross multiply
    29,342x = 61,060 × 61,060
  4. Step 4: Simplify right side
    29,342x = 3,728,323,600
  5. Step 5: Solve for x
    x = 3,728,323,600/29,342
  6. Step 6: Final answer
    x = 127,064.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.