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Finding the Third Proportional to 41,232 and 88,306

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Solution

The third proportional to 41,232 and 88,306 is: 189,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,232 : 88,306 = 88,306 : x
  2. Step 2: Convert to fraction form
    41,232/88,306 = 88,306/x
  3. Step 3: Cross multiply
    41,232x = 88,306 × 88,306
  4. Step 4: Simplify right side
    41,232x = 7,797,949,636
  5. Step 5: Solve for x
    x = 7,797,949,636/41,232
  6. Step 6: Final answer
    x = 189,123.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.