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Finding the Third Proportional to 71,252.38 and 100,215.13

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Solution

The third proportional to 71,252.38 and 100,215.13 is: 140,950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,252.38 : 100,215.13 = 100,215.13 : x
  2. Step 2: Convert to fraction form
    71,252.38/100,215.13 = 100,215.13/x
  3. Step 3: Cross multiply
    71,252.38x = 100,215.13 × 100,215.13
  4. Step 4: Simplify right side
    71,252.38x = 10,043,071,278.77
  5. Step 5: Solve for x
    x = 10,043,071,278.77/71,252.38
  6. Step 6: Final answer
    x = 140,950.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.