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Finding the Third Proportional to 71,610 and 168,441

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Solution

The third proportional to 71,610 and 168,441 is: 396,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,610 : 168,441 = 168,441 : x
  2. Step 2: Convert to fraction form
    71,610/168,441 = 168,441/x
  3. Step 3: Cross multiply
    71,610x = 168,441 × 168,441
  4. Step 4: Simplify right side
    71,610x = 28,372,370,481
  5. Step 5: Solve for x
    x = 28,372,370,481/71,610
  6. Step 6: Final answer
    x = 396,206.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.