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Finding the Third Proportional to 125,815.50 and 185,154.75

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Solution

The third proportional to 125,815.50 and 185,154.75 is: 272,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,815.50 : 185,154.75 = 185,154.75 : x
  2. Step 2: Convert to fraction form
    125,815.50/185,154.75 = 185,154.75/x
  3. Step 3: Cross multiply
    125,815.50x = 185,154.75 × 185,154.75
  4. Step 4: Simplify right side
    125,815.50x = 34,282,281,447.56
  5. Step 5: Solve for x
    x = 34,282,281,447.56/125,815.50
  6. Step 6: Final answer
    x = 272,480.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.