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Finding the Third Proportional to 125,352.56 and 268,201.13

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Solution

The third proportional to 125,352.56 and 268,201.13 is: 573,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,352.56 : 268,201.13 = 268,201.13 : x
  2. Step 2: Convert to fraction form
    125,352.56/268,201.13 = 268,201.13/x
  3. Step 3: Cross multiply
    125,352.56x = 268,201.13 × 268,201.13
  4. Step 4: Simplify right side
    125,352.56x = 71,931,843,451.27
  5. Step 5: Solve for x
    x = 71,931,843,451.27/125,352.56
  6. Step 6: Final answer
    x = 573,836.24

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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.