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Finding the Third Proportional to 81,875.25 and 179,820

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Solution

The third proportional to 81,875.25 and 179,820 is: 394,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,875.25 : 179,820 = 179,820 : x
  2. Step 2: Convert to fraction form
    81,875.25/179,820 = 179,820/x
  3. Step 3: Cross multiply
    81,875.25x = 179,820 × 179,820
  4. Step 4: Simplify right side
    81,875.25x = 32,335,232,400
  5. Step 5: Solve for x
    x = 32,335,232,400/81,875.25
  6. Step 6: Final answer
    x = 394,932.93

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