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Finding the Third Proportional to 125,846 and 187,065

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Solution

The third proportional to 125,846 and 187,065 is: 278,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,846 : 187,065 = 187,065 : x
  2. Step 2: Convert to fraction form
    125,846/187,065 = 187,065/x
  3. Step 3: Cross multiply
    125,846x = 187,065 × 187,065
  4. Step 4: Simplify right side
    125,846x = 34,993,314,225
  5. Step 5: Solve for x
    x = 34,993,314,225/125,846
  6. Step 6: Final answer
    x = 278,064.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.