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Finding the Third Proportional to 78,160.13 and 159,082.13

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Solution

The third proportional to 78,160.13 and 159,082.13 is: 323,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,160.13 : 159,082.13 = 159,082.13 : x
  2. Step 2: Convert to fraction form
    78,160.13/159,082.13 = 159,082.13/x
  3. Step 3: Cross multiply
    78,160.13x = 159,082.13 × 159,082.13
  4. Step 4: Simplify right side
    78,160.13x = 25,307,122,494.52
  5. Step 5: Solve for x
    x = 25,307,122,494.52/78,160.13
  6. Step 6: Final answer
    x = 323,785.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.