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Finding the Third Proportional to 125,347.50 and 189,084.38

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Solution

The third proportional to 125,347.50 and 189,084.38 is: 285,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,347.50 : 189,084.38 = 189,084.38 : x
  2. Step 2: Convert to fraction form
    125,347.50/189,084.38 = 189,084.38/x
  3. Step 3: Cross multiply
    125,347.50x = 189,084.38 × 189,084.38
  4. Step 4: Simplify right side
    125,347.50x = 35,752,900,869.14
  5. Step 5: Solve for x
    x = 35,752,900,869.14/125,347.50
  6. Step 6: Final answer
    x = 285,230.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.