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Finding the Third Proportional to 54,715.50 and 117,604.13

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Solution

The third proportional to 54,715.50 and 117,604.13 is: 252,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,715.50 : 117,604.13 = 117,604.13 : x
  2. Step 2: Convert to fraction form
    54,715.50/117,604.13 = 117,604.13/x
  3. Step 3: Cross multiply
    54,715.50x = 117,604.13 × 117,604.13
  4. Step 4: Simplify right side
    54,715.50x = 13,830,730,217.02
  5. Step 5: Solve for x
    x = 13,830,730,217.02/54,715.50
  6. Step 6: Final answer
    x = 252,775.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.