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Finding the Third Proportional to 79,643.25 and 157,231.13

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Solution

The third proportional to 79,643.25 and 157,231.13 is: 310,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,643.25 : 157,231.13 = 157,231.13 : x
  2. Step 2: Convert to fraction form
    79,643.25/157,231.13 = 157,231.13/x
  3. Step 3: Cross multiply
    79,643.25x = 157,231.13 × 157,231.13
  4. Step 4: Simplify right side
    79,643.25x = 24,721,626,668.77
  5. Step 5: Solve for x
    x = 24,721,626,668.77/79,643.25
  6. Step 6: Final answer
    x = 310,404.54

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.