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Finding the Third Proportional to 132,499.13 and 272,014.88

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Solution

The third proportional to 132,499.13 and 272,014.88 is: 558,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,499.13 : 272,014.88 = 272,014.88 : x
  2. Step 2: Convert to fraction form
    132,499.13/272,014.88 = 272,014.88/x
  3. Step 3: Cross multiply
    132,499.13x = 272,014.88 × 272,014.88
  4. Step 4: Simplify right side
    132,499.13x = 73,992,092,221.27
  5. Step 5: Solve for x
    x = 73,992,092,221.27/132,499.13
  6. Step 6: Final answer
    x = 558,434.57

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.