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Finding the Third Proportional to 62,176 and 98,882

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Solution

The third proportional to 62,176 and 98,882 is: 157,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,176 : 98,882 = 98,882 : x
  2. Step 2: Convert to fraction form
    62,176/98,882 = 98,882/x
  3. Step 3: Cross multiply
    62,176x = 98,882 × 98,882
  4. Step 4: Simplify right side
    62,176x = 9,777,649,924
  5. Step 5: Solve for x
    x = 9,777,649,924/62,176
  6. Step 6: Final answer
    x = 157,257.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.