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Finding the Third Proportional to 82,180 and 117,438

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Solution

The third proportional to 82,180 and 117,438 is: 167,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,180 : 117,438 = 117,438 : x
  2. Step 2: Convert to fraction form
    82,180/117,438 = 117,438/x
  3. Step 3: Cross multiply
    82,180x = 117,438 × 117,438
  4. Step 4: Simplify right side
    82,180x = 13,791,683,844
  5. Step 5: Solve for x
    x = 13,791,683,844/82,180
  6. Step 6: Final answer
    x = 167,822.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.