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Finding the Third Proportional to 82,942 and 125,101

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Solution

The third proportional to 82,942 and 125,101 is: 188,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,942 : 125,101 = 125,101 : x
  2. Step 2: Convert to fraction form
    82,942/125,101 = 125,101/x
  3. Step 3: Cross multiply
    82,942x = 125,101 × 125,101
  4. Step 4: Simplify right side
    82,942x = 15,650,260,201
  5. Step 5: Solve for x
    x = 15,650,260,201/82,942
  6. Step 6: Final answer
    x = 188,689.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.