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Finding the Third Proportional to 109,903 and 160,723

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Solution

The third proportional to 109,903 and 160,723 is: 235,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,903 : 160,723 = 160,723 : x
  2. Step 2: Convert to fraction form
    109,903/160,723 = 160,723/x
  3. Step 3: Cross multiply
    109,903x = 160,723 × 160,723
  4. Step 4: Simplify right side
    109,903x = 25,831,882,729
  5. Step 5: Solve for x
    x = 25,831,882,729/109,903
  6. Step 6: Final answer
    x = 235,042.56

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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.