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Finding the Third Proportional to 40,382 and 88,460

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Solution

The third proportional to 40,382 and 88,460 is: 193,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,382 : 88,460 = 88,460 : x
  2. Step 2: Convert to fraction form
    40,382/88,460 = 88,460/x
  3. Step 3: Cross multiply
    40,382x = 88,460 × 88,460
  4. Step 4: Simplify right side
    40,382x = 7,825,171,600
  5. Step 5: Solve for x
    x = 7,825,171,600/40,382
  6. Step 6: Final answer
    x = 193,778.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.