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Finding the Third Proportional to 67,091.06 and 100,292.34

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Solution

The third proportional to 67,091.06 and 100,292.34 is: 149,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,091.06 : 100,292.34 = 100,292.34 : x
  2. Step 2: Convert to fraction form
    67,091.06/100,292.34 = 100,292.34/x
  3. Step 3: Cross multiply
    67,091.06x = 100,292.34 × 100,292.34
  4. Step 4: Simplify right side
    67,091.06x = 10,058,554,214.87
  5. Step 5: Solve for x
    x = 10,058,554,214.87/67,091.06
  6. Step 6: Final answer
    x = 149,923.91

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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.