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Finding the Third Proportional to 85,562 and 137,850

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Solution

The third proportional to 85,562 and 137,850 is: 222,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,562 : 137,850 = 137,850 : x
  2. Step 2: Convert to fraction form
    85,562/137,850 = 137,850/x
  3. Step 3: Cross multiply
    85,562x = 137,850 × 137,850
  4. Step 4: Simplify right side
    85,562x = 19,002,622,500
  5. Step 5: Solve for x
    x = 19,002,622,500/85,562
  6. Step 6: Final answer
    x = 222,091.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.