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Finding the Third Proportional to 109,056 and 159,983

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Solution

The third proportional to 109,056 and 159,983 is: 234,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,056 : 159,983 = 159,983 : x
  2. Step 2: Convert to fraction form
    109,056/159,983 = 159,983/x
  3. Step 3: Cross multiply
    109,056x = 159,983 × 159,983
  4. Step 4: Simplify right side
    109,056x = 25,594,560,289
  5. Step 5: Solve for x
    x = 25,594,560,289/109,056
  6. Step 6: Final answer
    x = 234,691.90

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Why These Related Problems?

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