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Finding the Third Proportional to 83,116 and 125,670

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Solution

The third proportional to 83,116 and 125,670 is: 190,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116 : 125,670 = 125,670 : x
  2. Step 2: Convert to fraction form
    83,116/125,670 = 125,670/x
  3. Step 3: Cross multiply
    83,116x = 125,670 × 125,670
  4. Step 4: Simplify right side
    83,116x = 15,792,948,900
  5. Step 5: Solve for x
    x = 15,792,948,900/83,116
  6. Step 6: Final answer
    x = 190,010.94

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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.