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Finding the Third Proportional to 61,742 and 93,225

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Solution

The third proportional to 61,742 and 93,225 is: 140,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,742 : 93,225 = 93,225 : x
  2. Step 2: Convert to fraction form
    61,742/93,225 = 93,225/x
  3. Step 3: Cross multiply
    61,742x = 93,225 × 93,225
  4. Step 4: Simplify right side
    61,742x = 8,690,900,625
  5. Step 5: Solve for x
    x = 8,690,900,625/61,742
  6. Step 6: Final answer
    x = 140,761.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.