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Finding the Third Proportional to 124,174.13 and 268,191.56

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Solution

The third proportional to 124,174.13 and 268,191.56 is: 579,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,174.13 : 268,191.56 = 268,191.56 : x
  2. Step 2: Convert to fraction form
    124,174.13/268,191.56 = 268,191.56/x
  3. Step 3: Cross multiply
    124,174.13x = 268,191.56 × 268,191.56
  4. Step 4: Simplify right side
    124,174.13x = 71,926,714,196.19
  5. Step 5: Solve for x
    x = 71,926,714,196.19/124,174.13
  6. Step 6: Final answer
    x = 579,240.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.