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Finding the Third Proportional to 82,627 and 131,321

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Solution

The third proportional to 82,627 and 131,321 is: 208,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,627 : 131,321 = 131,321 : x
  2. Step 2: Convert to fraction form
    82,627/131,321 = 131,321/x
  3. Step 3: Cross multiply
    82,627x = 131,321 × 131,321
  4. Step 4: Simplify right side
    82,627x = 17,245,205,041
  5. Step 5: Solve for x
    x = 17,245,205,041/82,627
  6. Step 6: Final answer
    x = 208,711.50

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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.