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Finding the Third Proportional to 61,598 and 95,565

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Solution

The third proportional to 61,598 and 95,565 is: 148,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,598 : 95,565 = 95,565 : x
  2. Step 2: Convert to fraction form
    61,598/95,565 = 95,565/x
  3. Step 3: Cross multiply
    61,598x = 95,565 × 95,565
  4. Step 4: Simplify right side
    61,598x = 9,132,669,225
  5. Step 5: Solve for x
    x = 9,132,669,225/61,598
  6. Step 6: Final answer
    x = 148,262.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.