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Finding the Third Proportional to 61,734 and 95,165

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Solution

The third proportional to 61,734 and 95,165 is: 146,699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,734 : 95,165 = 95,165 : x
  2. Step 2: Convert to fraction form
    61,734/95,165 = 95,165/x
  3. Step 3: Cross multiply
    61,734x = 95,165 × 95,165
  4. Step 4: Simplify right side
    61,734x = 9,056,377,225
  5. Step 5: Solve for x
    x = 9,056,377,225/61,734
  6. Step 6: Final answer
    x = 146,699.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.