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Finding the Third Proportional to 54,471.50 and 117,543.50

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Solution

The third proportional to 54,471.50 and 117,543.50 is: 253,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,471.50 : 117,543.50 = 117,543.50 : x
  2. Step 2: Convert to fraction form
    54,471.50/117,543.50 = 117,543.50/x
  3. Step 3: Cross multiply
    54,471.50x = 117,543.50 × 117,543.50
  4. Step 4: Simplify right side
    54,471.50x = 13,816,474,392.25
  5. Step 5: Solve for x
    x = 13,816,474,392.25/54,471.50
  6. Step 6: Final answer
    x = 253,645.93

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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.