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Finding the Third Proportional to 109,806 and 160,519

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Solution

The third proportional to 109,806 and 160,519 is: 234,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,806 : 160,519 = 160,519 : x
  2. Step 2: Convert to fraction form
    109,806/160,519 = 160,519/x
  3. Step 3: Cross multiply
    109,806x = 160,519 × 160,519
  4. Step 4: Simplify right side
    109,806x = 25,766,349,361
  5. Step 5: Solve for x
    x = 25,766,349,361/109,806
  6. Step 6: Final answer
    x = 234,653.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.