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Finding the Third Proportional to 71,242.88 and 111,177.56

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Solution

The third proportional to 71,242.88 and 111,177.56 is: 173,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,242.88 : 111,177.56 = 111,177.56 : x
  2. Step 2: Convert to fraction form
    71,242.88/111,177.56 = 111,177.56/x
  3. Step 3: Cross multiply
    71,242.88x = 111,177.56 × 111,177.56
  4. Step 4: Simplify right side
    71,242.88x = 12,360,450,403.44
  5. Step 5: Solve for x
    x = 12,360,450,403.44/71,242.88
  6. Step 6: Final answer
    x = 173,497.36

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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.