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Finding the Third Proportional to 82,774.13 and 110,082.38

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Solution

The third proportional to 82,774.13 and 110,082.38 is: 146,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,774.13 : 110,082.38 = 110,082.38 : x
  2. Step 2: Convert to fraction form
    82,774.13/110,082.38 = 110,082.38/x
  3. Step 3: Cross multiply
    82,774.13x = 110,082.38 × 110,082.38
  4. Step 4: Simplify right side
    82,774.13x = 12,118,129,285.64
  5. Step 5: Solve for x
    x = 12,118,129,285.64/82,774.13
  6. Step 6: Final answer
    x = 146,399.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.