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Finding the Third Proportional to 69,158 and 140,850

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Solution

The third proportional to 69,158 and 140,850 is: 286,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,158 : 140,850 = 140,850 : x
  2. Step 2: Convert to fraction form
    69,158/140,850 = 140,850/x
  3. Step 3: Cross multiply
    69,158x = 140,850 × 140,850
  4. Step 4: Simplify right side
    69,158x = 19,838,722,500
  5. Step 5: Solve for x
    x = 19,838,722,500/69,158
  6. Step 6: Final answer
    x = 286,860.85

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.