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Finding the Third Proportional to 110,101.78 and 160,197.75

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Solution

The third proportional to 110,101.78 and 160,197.75 is: 233,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,101.78 : 160,197.75 = 160,197.75 : x
  2. Step 2: Convert to fraction form
    110,101.78/160,197.75 = 160,197.75/x
  3. Step 3: Cross multiply
    110,101.78x = 160,197.75 × 160,197.75
  4. Step 4: Simplify right side
    110,101.78x = 25,663,319,105.06
  5. Step 5: Solve for x
    x = 25,663,319,105.06/110,101.78
  6. Step 6: Final answer
    x = 233,087.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.