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Finding the Third Proportional to 83,556.75 and 124,309.13

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Solution

The third proportional to 83,556.75 and 124,309.13 is: 184,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,556.75 : 124,309.13 = 124,309.13 : x
  2. Step 2: Convert to fraction form
    83,556.75/124,309.13 = 124,309.13/x
  3. Step 3: Cross multiply
    83,556.75x = 124,309.13 × 124,309.13
  4. Step 4: Simplify right side
    83,556.75x = 15,452,758,558.27
  5. Step 5: Solve for x
    x = 15,452,758,558.27/83,556.75
  6. Step 6: Final answer
    x = 184,937.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.