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Finding the Third Proportional to 125,581 and 188,372

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Solution

The third proportional to 125,581 and 188,372 is: 282,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,581 : 188,372 = 188,372 : x
  2. Step 2: Convert to fraction form
    125,581/188,372 = 188,372/x
  3. Step 3: Cross multiply
    125,581x = 188,372 × 188,372
  4. Step 4: Simplify right side
    125,581x = 35,484,010,384
  5. Step 5: Solve for x
    x = 35,484,010,384/125,581
  6. Step 6: Final answer
    x = 282,558.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.