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Finding the Third Proportional to 109,078 and 160,025

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Solution

The third proportional to 109,078 and 160,025 is: 234,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,078 : 160,025 = 160,025 : x
  2. Step 2: Convert to fraction form
    109,078/160,025 = 160,025/x
  3. Step 3: Cross multiply
    109,078x = 160,025 × 160,025
  4. Step 4: Simplify right side
    109,078x = 25,608,000,625
  5. Step 5: Solve for x
    x = 25,608,000,625/109,078
  6. Step 6: Final answer
    x = 234,767.79

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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.