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Finding the Third Proportional to 89,191.13 and 185,760

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Solution

The third proportional to 89,191.13 and 185,760 is: 386,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,191.13 : 185,760 = 185,760 : x
  2. Step 2: Convert to fraction form
    89,191.13/185,760 = 185,760/x
  3. Step 3: Cross multiply
    89,191.13x = 185,760 × 185,760
  4. Step 4: Simplify right side
    89,191.13x = 34,506,777,600
  5. Step 5: Solve for x
    x = 34,506,777,600/89,191.13
  6. Step 6: Final answer
    x = 386,885.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.