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Finding the Third Proportional to 109,127 and 168,195

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Solution

The third proportional to 109,127 and 168,195 is: 259,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,127 : 168,195 = 168,195 : x
  2. Step 2: Convert to fraction form
    109,127/168,195 = 168,195/x
  3. Step 3: Cross multiply
    109,127x = 168,195 × 168,195
  4. Step 4: Simplify right side
    109,127x = 28,289,558,025
  5. Step 5: Solve for x
    x = 28,289,558,025/109,127
  6. Step 6: Final answer
    x = 259,235.18

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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.