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Finding the Third Proportional to 75,875.25 and 162,819.75

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Solution

The third proportional to 75,875.25 and 162,819.75 is: 349,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,875.25 : 162,819.75 = 162,819.75 : x
  2. Step 2: Convert to fraction form
    75,875.25/162,819.75 = 162,819.75/x
  3. Step 3: Cross multiply
    75,875.25x = 162,819.75 × 162,819.75
  4. Step 4: Simplify right side
    75,875.25x = 26,510,270,990.06
  5. Step 5: Solve for x
    x = 26,510,270,990.06/75,875.25
  6. Step 6: Final answer
    x = 349,392.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.