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Finding the Third Proportional to 101,778.75 and 149,707.13

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Solution

The third proportional to 101,778.75 and 149,707.13 is: 220,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,778.75 : 149,707.13 = 149,707.13 : x
  2. Step 2: Convert to fraction form
    101,778.75/149,707.13 = 149,707.13/x
  3. Step 3: Cross multiply
    101,778.75x = 149,707.13 × 149,707.13
  4. Step 4: Simplify right side
    101,778.75x = 22,412,223,275.77
  5. Step 5: Solve for x
    x = 22,412,223,275.77/101,778.75
  6. Step 6: Final answer
    x = 220,205.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.