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Finding the Third Proportional to 125,015 and 187,536

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Solution

The third proportional to 125,015 and 187,536 is: 281,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,015 : 187,536 = 187,536 : x
  2. Step 2: Convert to fraction form
    125,015/187,536 = 187,536/x
  3. Step 3: Cross multiply
    125,015x = 187,536 × 187,536
  4. Step 4: Simplify right side
    125,015x = 35,169,751,296
  5. Step 5: Solve for x
    x = 35,169,751,296/125,015
  6. Step 6: Final answer
    x = 281,324.25

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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.