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Finding the Third Proportional to 71,300.25 and 110,352.38

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Solution

The third proportional to 71,300.25 and 110,352.38 is: 170,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,300.25 : 110,352.38 = 110,352.38 : x
  2. Step 2: Convert to fraction form
    71,300.25/110,352.38 = 110,352.38/x
  3. Step 3: Cross multiply
    71,300.25x = 110,352.38 × 110,352.38
  4. Step 4: Simplify right side
    71,300.25x = 12,177,646,668.14
  5. Step 5: Solve for x
    x = 12,177,646,668.14/71,300.25
  6. Step 6: Final answer
    x = 170,793.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.