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Finding the Third Proportional to 81,226.55 and 175,985.16

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Solution

The third proportional to 81,226.55 and 175,985.16 is: 381,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,226.55 : 175,985.16 = 175,985.16 : x
  2. Step 2: Convert to fraction form
    81,226.55/175,985.16 = 175,985.16/x
  3. Step 3: Cross multiply
    81,226.55x = 175,985.16 × 175,985.16
  4. Step 4: Simplify right side
    81,226.55x = 30,970,775,220.34
  5. Step 5: Solve for x
    x = 30,970,775,220.34/81,226.55
  6. Step 6: Final answer
    x = 381,288.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.