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Finding the Third Proportional to 109,188 and 168,723

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Solution

The third proportional to 109,188 and 168,723 is: 260,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,188 : 168,723 = 168,723 : x
  2. Step 2: Convert to fraction form
    109,188/168,723 = 168,723/x
  3. Step 3: Cross multiply
    109,188x = 168,723 × 168,723
  4. Step 4: Simplify right side
    109,188x = 28,467,450,729
  5. Step 5: Solve for x
    x = 28,467,450,729/109,188
  6. Step 6: Final answer
    x = 260,719.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.