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Finding the Third Proportional to 54,734.50 and 117,654.50

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Solution

The third proportional to 54,734.50 and 117,654.50 is: 252,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,734.50 : 117,654.50 = 117,654.50 : x
  2. Step 2: Convert to fraction form
    54,734.50/117,654.50 = 117,654.50/x
  3. Step 3: Cross multiply
    54,734.50x = 117,654.50 × 117,654.50
  4. Step 4: Simplify right side
    54,734.50x = 13,842,581,370.25
  5. Step 5: Solve for x
    x = 13,842,581,370.25/54,734.50
  6. Step 6: Final answer
    x = 252,904.13

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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.