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Finding the Third Proportional to 54,602.16 and 119,306.81

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Solution

The third proportional to 54,602.16 and 119,306.81 is: 260,687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,602.16 : 119,306.81 = 119,306.81 : x
  2. Step 2: Convert to fraction form
    54,602.16/119,306.81 = 119,306.81/x
  3. Step 3: Cross multiply
    54,602.16x = 119,306.81 × 119,306.81
  4. Step 4: Simplify right side
    54,602.16x = 14,234,115,508.91
  5. Step 5: Solve for x
    x = 14,234,115,508.91/54,602.16
  6. Step 6: Final answer
    x = 260,687.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.