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Finding the Third Proportional to 109,273 and 168,762

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Solution

The third proportional to 109,273 and 168,762 is: 260,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,273 : 168,762 = 168,762 : x
  2. Step 2: Convert to fraction form
    109,273/168,762 = 168,762/x
  3. Step 3: Cross multiply
    109,273x = 168,762 × 168,762
  4. Step 4: Simplify right side
    109,273x = 28,480,612,644
  5. Step 5: Solve for x
    x = 28,480,612,644/109,273
  6. Step 6: Final answer
    x = 260,637.24

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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.