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Finding the Third Proportional to 71,244.14 and 111,179.46

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Solution

The third proportional to 71,244.14 and 111,179.46 is: 173,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,244.14 : 111,179.46 = 111,179.46 : x
  2. Step 2: Convert to fraction form
    71,244.14/111,179.46 = 111,179.46/x
  3. Step 3: Cross multiply
    71,244.14x = 111,179.46 × 111,179.46
  4. Step 4: Simplify right side
    71,244.14x = 12,360,872,534.35
  5. Step 5: Solve for x
    x = 12,360,872,534.35/71,244.14
  6. Step 6: Final answer
    x = 173,500.20

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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.