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Finding the Third Proportional to 125,215 and 187,786

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Solution

The third proportional to 125,215 and 187,786 is: 281,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,215 : 187,786 = 187,786 : x
  2. Step 2: Convert to fraction form
    125,215/187,786 = 187,786/x
  3. Step 3: Cross multiply
    125,215x = 187,786 × 187,786
  4. Step 4: Simplify right side
    125,215x = 35,263,581,796
  5. Step 5: Solve for x
    x = 35,263,581,796/125,215
  6. Step 6: Final answer
    x = 281,624.26

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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.