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Finding the Third Proportional to 110,871.75 and 172,020.75

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Solution

The third proportional to 110,871.75 and 172,020.75 is: 266,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,871.75 : 172,020.75 = 172,020.75 : x
  2. Step 2: Convert to fraction form
    110,871.75/172,020.75 = 172,020.75/x
  3. Step 3: Cross multiply
    110,871.75x = 172,020.75 × 172,020.75
  4. Step 4: Simplify right side
    110,871.75x = 29,591,138,430.56
  5. Step 5: Solve for x
    x = 29,591,138,430.56/110,871.75
  6. Step 6: Final answer
    x = 266,895.20

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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.