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Finding the Third Proportional to 109,997 and 170,041

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Solution

The third proportional to 109,997 and 170,041 is: 262,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,997 : 170,041 = 170,041 : x
  2. Step 2: Convert to fraction form
    109,997/170,041 = 170,041/x
  3. Step 3: Cross multiply
    109,997x = 170,041 × 170,041
  4. Step 4: Simplify right side
    109,997x = 28,913,941,681
  5. Step 5: Solve for x
    x = 28,913,941,681/109,997
  6. Step 6: Final answer
    x = 262,861.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.