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Finding the Third Proportional to 79,296.75 and 107,642.25

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Solution

The third proportional to 79,296.75 and 107,642.25 is: 146,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,296.75 : 107,642.25 = 107,642.25 : x
  2. Step 2: Convert to fraction form
    79,296.75/107,642.25 = 107,642.25/x
  3. Step 3: Cross multiply
    79,296.75x = 107,642.25 × 107,642.25
  4. Step 4: Simplify right side
    79,296.75x = 11,586,853,985.06
  5. Step 5: Solve for x
    x = 11,586,853,985.06/79,296.75
  6. Step 6: Final answer
    x = 146,120.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.