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Finding the Third Proportional to 71,488.41 and 141,182.58

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Solution

The third proportional to 71,488.41 and 141,182.58 is: 278,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,488.41 : 141,182.58 = 141,182.58 : x
  2. Step 2: Convert to fraction form
    71,488.41/141,182.58 = 141,182.58/x
  3. Step 3: Cross multiply
    71,488.41x = 141,182.58 × 141,182.58
  4. Step 4: Simplify right side
    71,488.41x = 19,932,520,366.02
  5. Step 5: Solve for x
    x = 19,932,520,366.02/71,488.41
  6. Step 6: Final answer
    x = 278,821.72

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.