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Finding the Third Proportional to 125,340.75 and 205,756.88

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Solution

The third proportional to 125,340.75 and 205,756.88 is: 337,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,340.75 : 205,756.88 = 205,756.88 : x
  2. Step 2: Convert to fraction form
    125,340.75/205,756.88 = 205,756.88/x
  3. Step 3: Cross multiply
    125,340.75x = 205,756.88 × 205,756.88
  4. Step 4: Simplify right side
    125,340.75x = 42,335,891,609.77
  5. Step 5: Solve for x
    x = 42,335,891,609.77/125,340.75
  6. Step 6: Final answer
    x = 337,766.38

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.