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Finding the Third Proportional to 125,092 and 187,014

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Solution

The third proportional to 125,092 and 187,014 is: 279,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,092 : 187,014 = 187,014 : x
  2. Step 2: Convert to fraction form
    125,092/187,014 = 187,014/x
  3. Step 3: Cross multiply
    125,092x = 187,014 × 187,014
  4. Step 4: Simplify right side
    125,092x = 34,974,236,196
  5. Step 5: Solve for x
    x = 34,974,236,196/125,092
  6. Step 6: Final answer
    x = 279,588.11

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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.