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Finding the Third Proportional to 54,166 and 81,250

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Solution

The third proportional to 54,166 and 81,250 is: 121,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,166 : 81,250 = 81,250 : x
  2. Step 2: Convert to fraction form
    54,166/81,250 = 81,250/x
  3. Step 3: Cross multiply
    54,166x = 81,250 × 81,250
  4. Step 4: Simplify right side
    54,166x = 6,601,562,500
  5. Step 5: Solve for x
    x = 6,601,562,500/54,166
  6. Step 6: Final answer
    x = 121,876.50

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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.