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Finding the Third Proportional to 125,642.25 and 270,967.75

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Solution

The third proportional to 125,642.25 and 270,967.75 is: 584,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,642.25 : 270,967.75 = 270,967.75 : x
  2. Step 2: Convert to fraction form
    125,642.25/270,967.75 = 270,967.75/x
  3. Step 3: Cross multiply
    125,642.25x = 270,967.75 × 270,967.75
  4. Step 4: Simplify right side
    125,642.25x = 73,423,521,540.06
  5. Step 5: Solve for x
    x = 73,423,521,540.06/125,642.25
  6. Step 6: Final answer
    x = 584,385.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.