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Finding the Third Proportional to 124,635.27 and 193,354.91

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Solution

The third proportional to 124,635.27 and 193,354.91 is: 299,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,635.27 : 193,354.91 = 193,354.91 : x
  2. Step 2: Convert to fraction form
    124,635.27/193,354.91 = 193,354.91/x
  3. Step 3: Cross multiply
    124,635.27x = 193,354.91 × 193,354.91
  4. Step 4: Simplify right side
    124,635.27x = 37,386,121,281.53
  5. Step 5: Solve for x
    x = 37,386,121,281.53/124,635.27
  6. Step 6: Final answer
    x = 299,964.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.