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Finding the Third Proportional to 109,073.25 and 160,018.88

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Solution

The third proportional to 109,073.25 and 160,018.88 is: 234,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,073.25 : 160,018.88 = 160,018.88 : x
  2. Step 2: Convert to fraction form
    109,073.25/160,018.88 = 160,018.88/x
  3. Step 3: Cross multiply
    109,073.25x = 160,018.88 × 160,018.88
  4. Step 4: Simplify right side
    109,073.25x = 25,606,040,356.27
  5. Step 5: Solve for x
    x = 25,606,040,356.27/109,073.25
  6. Step 6: Final answer
    x = 234,760.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.