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Finding the Third Proportional to 109,741 and 164,557

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Solution

The third proportional to 109,741 and 164,557 is: 246,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,741 : 164,557 = 164,557 : x
  2. Step 2: Convert to fraction form
    109,741/164,557 = 164,557/x
  3. Step 3: Cross multiply
    109,741x = 164,557 × 164,557
  4. Step 4: Simplify right side
    109,741x = 27,079,006,249
  5. Step 5: Solve for x
    x = 27,079,006,249/109,741
  6. Step 6: Final answer
    x = 246,753.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.