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Finding the Third Proportional to 71,854.88 and 151,151.06

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Solution

The third proportional to 71,854.88 and 151,151.06 is: 317,955.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,854.88 : 151,151.06 = 151,151.06 : x
  2. Step 2: Convert to fraction form
    71,854.88/151,151.06 = 151,151.06/x
  3. Step 3: Cross multiply
    71,854.88x = 151,151.06 × 151,151.06
  4. Step 4: Simplify right side
    71,854.88x = 22,846,643,694.88
  5. Step 5: Solve for x
    x = 22,846,643,694.88/71,854.88
  6. Step 6: Final answer
    x = 317,955.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.