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Finding the Third Proportional to 61,650 and 95,643

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Solution

The third proportional to 61,650 and 95,643 is: 148,379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,650 : 95,643 = 95,643 : x
  2. Step 2: Convert to fraction form
    61,650/95,643 = 95,643/x
  3. Step 3: Cross multiply
    61,650x = 95,643 × 95,643
  4. Step 4: Simplify right side
    61,650x = 9,147,583,449
  5. Step 5: Solve for x
    x = 9,147,583,449/61,650
  6. Step 6: Final answer
    x = 148,379.29

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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.