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Finding the Third Proportional to 54,471.38 and 117,545.63

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Solution

The third proportional to 54,471.38 and 117,545.63 is: 253,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,471.38 : 117,545.63 = 117,545.63 : x
  2. Step 2: Convert to fraction form
    54,471.38/117,545.63 = 117,545.63/x
  3. Step 3: Cross multiply
    54,471.38x = 117,545.63 × 117,545.63
  4. Step 4: Simplify right side
    54,471.38x = 13,816,973,956.64
  5. Step 5: Solve for x
    x = 13,816,973,956.64/54,471.38
  6. Step 6: Final answer
    x = 253,655.69

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Why These Related Problems?

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