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Finding the Third Proportional to 31,452 and 68,737

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Solution

The third proportional to 31,452 and 68,737 is: 150,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,452 : 68,737 = 68,737 : x
  2. Step 2: Convert to fraction form
    31,452/68,737 = 68,737/x
  3. Step 3: Cross multiply
    31,452x = 68,737 × 68,737
  4. Step 4: Simplify right side
    31,452x = 4,724,775,169
  5. Step 5: Solve for x
    x = 4,724,775,169/31,452
  6. Step 6: Final answer
    x = 150,221.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.