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Finding the Third Proportional to 54,531 and 115,654.50

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Solution

The third proportional to 54,531 and 115,654.50 is: 245,291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,531 : 115,654.50 = 115,654.50 : x
  2. Step 2: Convert to fraction form
    54,531/115,654.50 = 115,654.50/x
  3. Step 3: Cross multiply
    54,531x = 115,654.50 × 115,654.50
  4. Step 4: Simplify right side
    54,531x = 13,375,963,370.25
  5. Step 5: Solve for x
    x = 13,375,963,370.25/54,531
  6. Step 6: Final answer
    x = 245,291.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.