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Finding the Third Proportional to 100,032.75 and 154,842.75

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Solution

The third proportional to 100,032.75 and 154,842.75 is: 239,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,032.75 : 154,842.75 = 154,842.75 : x
  2. Step 2: Convert to fraction form
    100,032.75/154,842.75 = 154,842.75/x
  3. Step 3: Cross multiply
    100,032.75x = 154,842.75 × 154,842.75
  4. Step 4: Simplify right side
    100,032.75x = 23,976,277,227.56
  5. Step 5: Solve for x
    x = 23,976,277,227.56/100,032.75
  6. Step 6: Final answer
    x = 239,684.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.