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Finding the Third Proportional to 54,310.50 and 113,587.88

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Solution

The third proportional to 54,310.50 and 113,587.88 is: 237,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,310.50 : 113,587.88 = 113,587.88 : x
  2. Step 2: Convert to fraction form
    54,310.50/113,587.88 = 113,587.88/x
  3. Step 3: Cross multiply
    54,310.50x = 113,587.88 × 113,587.88
  4. Step 4: Simplify right side
    54,310.50x = 12,902,205,347.02
  5. Step 5: Solve for x
    x = 12,902,205,347.02/54,310.50
  6. Step 6: Final answer
    x = 237,563.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.