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Finding the Third Proportional to 62,452 and 92,022

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Solution

The third proportional to 62,452 and 92,022 is: 135,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,452 : 92,022 = 92,022 : x
  2. Step 2: Convert to fraction form
    62,452/92,022 = 92,022/x
  3. Step 3: Cross multiply
    62,452x = 92,022 × 92,022
  4. Step 4: Simplify right side
    62,452x = 8,468,048,484
  5. Step 5: Solve for x
    x = 8,468,048,484/62,452
  6. Step 6: Final answer
    x = 135,592.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.