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Finding the Third Proportional to 109,350 and 168,579

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Solution

The third proportional to 109,350 and 168,579 is: 259,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,350 : 168,579 = 168,579 : x
  2. Step 2: Convert to fraction form
    109,350/168,579 = 168,579/x
  3. Step 3: Cross multiply
    109,350x = 168,579 × 168,579
  4. Step 4: Simplify right side
    109,350x = 28,418,879,241
  5. Step 5: Solve for x
    x = 28,418,879,241/109,350
  6. Step 6: Final answer
    x = 259,889.16

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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.