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Finding the Third Proportional to 40,702 and 88,868

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Solution

The third proportional to 40,702 and 88,868 is: 194,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,702 : 88,868 = 88,868 : x
  2. Step 2: Convert to fraction form
    40,702/88,868 = 88,868/x
  3. Step 3: Cross multiply
    40,702x = 88,868 × 88,868
  4. Step 4: Simplify right side
    40,702x = 7,897,521,424
  5. Step 5: Solve for x
    x = 7,897,521,424/40,702
  6. Step 6: Final answer
    x = 194,032.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.