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Finding the Third Proportional to 125,850 and 187,071

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Solution

The third proportional to 125,850 and 187,071 is: 278,073.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,850 : 187,071 = 187,071 : x
  2. Step 2: Convert to fraction form
    125,850/187,071 = 187,071/x
  3. Step 3: Cross multiply
    125,850x = 187,071 × 187,071
  4. Step 4: Simplify right side
    125,850x = 34,995,559,041
  5. Step 5: Solve for x
    x = 34,995,559,041/125,850
  6. Step 6: Final answer
    x = 278,073.57

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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.