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Finding the Third Proportional to 54,101.25 and 115,681.50

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Solution

The third proportional to 54,101.25 and 115,681.50 is: 247,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,101.25 : 115,681.50 = 115,681.50 : x
  2. Step 2: Convert to fraction form
    54,101.25/115,681.50 = 115,681.50/x
  3. Step 3: Cross multiply
    54,101.25x = 115,681.50 × 115,681.50
  4. Step 4: Simplify right side
    54,101.25x = 13,382,209,442.25
  5. Step 5: Solve for x
    x = 13,382,209,442.25/54,101.25
  6. Step 6: Final answer
    x = 247,354.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.