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Finding the Third Proportional to 109,271 and 168,759

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Solution

The third proportional to 109,271 and 168,759 is: 260,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,271 : 168,759 = 168,759 : x
  2. Step 2: Convert to fraction form
    109,271/168,759 = 168,759/x
  3. Step 3: Cross multiply
    109,271x = 168,759 × 168,759
  4. Step 4: Simplify right side
    109,271x = 28,479,600,081
  5. Step 5: Solve for x
    x = 28,479,600,081/109,271
  6. Step 6: Final answer
    x = 260,632.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.