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Finding the Third Proportional to 61,084.13 and 80,508.94

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Solution

The third proportional to 61,084.13 and 80,508.94 is: 106,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,084.13 : 80,508.94 = 80,508.94 : x
  2. Step 2: Convert to fraction form
    61,084.13/80,508.94 = 80,508.94/x
  3. Step 3: Cross multiply
    61,084.13x = 80,508.94 × 80,508.94
  4. Step 4: Simplify right side
    61,084.13x = 6,481,689,017.38
  5. Step 5: Solve for x
    x = 6,481,689,017.38/61,084.13
  6. Step 6: Final answer
    x = 106,110.86

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.