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Finding the Third Proportional to 125,066 and 187,383

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Solution

The third proportional to 125,066 and 187,383 is: 280,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,066 : 187,383 = 187,383 : x
  2. Step 2: Convert to fraction form
    125,066/187,383 = 187,383/x
  3. Step 3: Cross multiply
    125,066x = 187,383 × 187,383
  4. Step 4: Simplify right side
    125,066x = 35,112,388,689
  5. Step 5: Solve for x
    x = 35,112,388,689/125,066
  6. Step 6: Final answer
    x = 280,750.87

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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.