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Finding the Third Proportional to 72,381 and 159,486

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Solution

The third proportional to 72,381 and 159,486 is: 351,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,381 : 159,486 = 159,486 : x
  2. Step 2: Convert to fraction form
    72,381/159,486 = 159,486/x
  3. Step 3: Cross multiply
    72,381x = 159,486 × 159,486
  4. Step 4: Simplify right side
    72,381x = 25,435,784,196
  5. Step 5: Solve for x
    x = 25,435,784,196/72,381
  6. Step 6: Final answer
    x = 351,415.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.