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Finding the Third Proportional to 81,875.25 and 179,025.19

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Solution

The third proportional to 81,875.25 and 179,025.19 is: 391,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,875.25 : 179,025.19 = 179,025.19 : x
  2. Step 2: Convert to fraction form
    81,875.25/179,025.19 = 179,025.19/x
  3. Step 3: Cross multiply
    81,875.25x = 179,025.19 × 179,025.19
  4. Step 4: Simplify right side
    81,875.25x = 32,050,017,759.41
  5. Step 5: Solve for x
    x = 32,050,017,759.41/81,875.25
  6. Step 6: Final answer
    x = 391,449.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.