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Finding the Third Proportional to 125,877 and 260,245.50

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Solution

The third proportional to 125,877 and 260,245.50 is: 538,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,877 : 260,245.50 = 260,245.50 : x
  2. Step 2: Convert to fraction form
    125,877/260,245.50 = 260,245.50/x
  3. Step 3: Cross multiply
    125,877x = 260,245.50 × 260,245.50
  4. Step 4: Simplify right side
    125,877x = 67,727,720,270.25
  5. Step 5: Solve for x
    x = 67,727,720,270.25/125,877
  6. Step 6: Final answer
    x = 538,046.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.