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Finding the Third Proportional to 98,232.75 and 148,169.25

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Solution

The third proportional to 98,232.75 and 148,169.25 is: 223,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,232.75 : 148,169.25 = 148,169.25 : x
  2. Step 2: Convert to fraction form
    98,232.75/148,169.25 = 148,169.25/x
  3. Step 3: Cross multiply
    98,232.75x = 148,169.25 × 148,169.25
  4. Step 4: Simplify right side
    98,232.75x = 21,954,126,645.56
  5. Step 5: Solve for x
    x = 21,954,126,645.56/98,232.75
  6. Step 6: Final answer
    x = 223,490.91

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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.