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Finding the Third Proportional to 61,790 and 99,489

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Solution

The third proportional to 61,790 and 99,489 is: 160,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,790 : 99,489 = 99,489 : x
  2. Step 2: Convert to fraction form
    61,790/99,489 = 99,489/x
  3. Step 3: Cross multiply
    61,790x = 99,489 × 99,489
  4. Step 4: Simplify right side
    61,790x = 9,898,061,121
  5. Step 5: Solve for x
    x = 9,898,061,121/61,790
  6. Step 6: Final answer
    x = 160,188.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.