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Finding the Third Proportional to 37,387 and 82,157

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Solution

The third proportional to 37,387 and 82,157 is: 180,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,387 : 82,157 = 82,157 : x
  2. Step 2: Convert to fraction form
    37,387/82,157 = 82,157/x
  3. Step 3: Cross multiply
    37,387x = 82,157 × 82,157
  4. Step 4: Simplify right side
    37,387x = 6,749,772,649
  5. Step 5: Solve for x
    x = 6,749,772,649/37,387
  6. Step 6: Final answer
    x = 180,537.96

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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.