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Finding the Third Proportional to 29,096 and 62,080

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Solution

The third proportional to 29,096 and 62,080 is: 132,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,096 : 62,080 = 62,080 : x
  2. Step 2: Convert to fraction form
    29,096/62,080 = 62,080/x
  3. Step 3: Cross multiply
    29,096x = 62,080 × 62,080
  4. Step 4: Simplify right side
    29,096x = 3,853,926,400
  5. Step 5: Solve for x
    x = 3,853,926,400/29,096
  6. Step 6: Final answer
    x = 132,455.54

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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.