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Finding the Third Proportional to 52,498.13 and 82,123.88

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Solution

The third proportional to 52,498.13 and 82,123.88 is: 128,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,498.13 : 82,123.88 = 82,123.88 : x
  2. Step 2: Convert to fraction form
    52,498.13/82,123.88 = 82,123.88/x
  3. Step 3: Cross multiply
    52,498.13x = 82,123.88 × 82,123.88
  4. Step 4: Simplify right side
    52,498.13x = 6,744,330,845.02
  5. Step 5: Solve for x
    x = 6,744,330,845.02/52,498.13
  6. Step 6: Final answer
    x = 128,468.03

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.