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Finding the Third Proportional to 29,099 and 61,660

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Solution

The third proportional to 29,099 and 61,660 is: 130,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,099 : 61,660 = 61,660 : x
  2. Step 2: Convert to fraction form
    29,099/61,660 = 61,660/x
  3. Step 3: Cross multiply
    29,099x = 61,660 × 61,660
  4. Step 4: Simplify right side
    29,099x = 3,801,955,600
  5. Step 5: Solve for x
    x = 3,801,955,600/29,099
  6. Step 6: Final answer
    x = 130,655.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.