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Finding the Third Proportional to 83,194 and 124,751

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Solution

The third proportional to 83,194 and 124,751 is: 187,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,194 : 124,751 = 124,751 : x
  2. Step 2: Convert to fraction form
    83,194/124,751 = 124,751/x
  3. Step 3: Cross multiply
    83,194x = 124,751 × 124,751
  4. Step 4: Simplify right side
    83,194x = 15,562,812,001
  5. Step 5: Solve for x
    x = 15,562,812,001/83,194
  6. Step 6: Final answer
    x = 187,066.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.