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Finding the Third Proportional to 109,558 and 156,559

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Solution

The third proportional to 109,558 and 156,559 is: 223,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,558 : 156,559 = 156,559 : x
  2. Step 2: Convert to fraction form
    109,558/156,559 = 156,559/x
  3. Step 3: Cross multiply
    109,558x = 156,559 × 156,559
  4. Step 4: Simplify right side
    109,558x = 24,510,720,481
  5. Step 5: Solve for x
    x = 24,510,720,481/109,558
  6. Step 6: Final answer
    x = 223,723.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.