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Finding the Third Proportional to 54,657 and 117,617.50

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Solution

The third proportional to 54,657 and 117,617.50 is: 253,103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,657 : 117,617.50 = 117,617.50 : x
  2. Step 2: Convert to fraction form
    54,657/117,617.50 = 117,617.50/x
  3. Step 3: Cross multiply
    54,657x = 117,617.50 × 117,617.50
  4. Step 4: Simplify right side
    54,657x = 13,833,876,306.25
  5. Step 5: Solve for x
    x = 13,833,876,306.25/54,657
  6. Step 6: Final answer
    x = 253,103.47

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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.