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Finding the Third Proportional to 80,848.13 and 173,856.38

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Solution

The third proportional to 80,848.13 and 173,856.38 is: 373,861.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,848.13 : 173,856.38 = 173,856.38 : x
  2. Step 2: Convert to fraction form
    80,848.13/173,856.38 = 173,856.38/x
  3. Step 3: Cross multiply
    80,848.13x = 173,856.38 × 173,856.38
  4. Step 4: Simplify right side
    80,848.13x = 30,226,039,128.14
  5. Step 5: Solve for x
    x = 30,226,039,128.14/80,848.13
  6. Step 6: Final answer
    x = 373,861.97

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Why These Related Problems?

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