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Finding the Third Proportional to 83,568 and 126,061.50

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Solution

The third proportional to 83,568 and 126,061.50 is: 190,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,568 : 126,061.50 = 126,061.50 : x
  2. Step 2: Convert to fraction form
    83,568/126,061.50 = 126,061.50/x
  3. Step 3: Cross multiply
    83,568x = 126,061.50 × 126,061.50
  4. Step 4: Simplify right side
    83,568x = 15,891,501,782.25
  5. Step 5: Solve for x
    x = 15,891,501,782.25/83,568
  6. Step 6: Final answer
    x = 190,162.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.