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Finding the Third Proportional to 68,023.13 and 158,842.69

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Solution

The third proportional to 68,023.13 and 158,842.69 is: 370,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,023.13 : 158,842.69 = 158,842.69 : x
  2. Step 2: Convert to fraction form
    68,023.13/158,842.69 = 158,842.69/x
  3. Step 3: Cross multiply
    68,023.13x = 158,842.69 × 158,842.69
  4. Step 4: Simplify right side
    68,023.13x = 25,230,999,372.22
  5. Step 5: Solve for x
    x = 25,230,999,372.22/68,023.13
  6. Step 6: Final answer
    x = 370,917.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.