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Finding the Third Proportional to 71,353.13 and 111,115.13

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Solution

The third proportional to 71,353.13 and 111,115.13 is: 173,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,353.13 : 111,115.13 = 111,115.13 : x
  2. Step 2: Convert to fraction form
    71,353.13/111,115.13 = 111,115.13/x
  3. Step 3: Cross multiply
    71,353.13x = 111,115.13 × 111,115.13
  4. Step 4: Simplify right side
    71,353.13x = 12,346,571,003.77
  5. Step 5: Solve for x
    x = 12,346,571,003.77/71,353.13
  6. Step 6: Final answer
    x = 173,034.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.