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Finding the Third Proportional to 81,594 and 179,246.25

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Solution

The third proportional to 81,594 and 179,246.25 is: 393,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,594 : 179,246.25 = 179,246.25 : x
  2. Step 2: Convert to fraction form
    81,594/179,246.25 = 179,246.25/x
  3. Step 3: Cross multiply
    81,594x = 179,246.25 × 179,246.25
  4. Step 4: Simplify right side
    81,594x = 32,129,218,139.06
  5. Step 5: Solve for x
    x = 32,129,218,139.06/81,594
  6. Step 6: Final answer
    x = 393,769.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.