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Finding the Third Proportional to 109,269 and 168,756

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Solution

The third proportional to 109,269 and 168,756 is: 260,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,269 : 168,756 = 168,756 : x
  2. Step 2: Convert to fraction form
    109,269/168,756 = 168,756/x
  3. Step 3: Cross multiply
    109,269x = 168,756 × 168,756
  4. Step 4: Simplify right side
    109,269x = 28,478,587,536
  5. Step 5: Solve for x
    x = 28,478,587,536/109,269
  6. Step 6: Final answer
    x = 260,628.24

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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.