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Finding the Third Proportional to 95,432 and 139,858

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Solution

The third proportional to 95,432 and 139,858 is: 204,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,432 : 139,858 = 139,858 : x
  2. Step 2: Convert to fraction form
    95,432/139,858 = 139,858/x
  3. Step 3: Cross multiply
    95,432x = 139,858 × 139,858
  4. Step 4: Simplify right side
    95,432x = 19,560,260,164
  5. Step 5: Solve for x
    x = 19,560,260,164/95,432
  6. Step 6: Final answer
    x = 204,965.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.