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Finding the Third Proportional to 109,137 and 168,210

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Solution

The third proportional to 109,137 and 168,210 is: 259,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,137 : 168,210 = 168,210 : x
  2. Step 2: Convert to fraction form
    109,137/168,210 = 168,210/x
  3. Step 3: Cross multiply
    109,137x = 168,210 × 168,210
  4. Step 4: Simplify right side
    109,137x = 28,294,604,100
  5. Step 5: Solve for x
    x = 28,294,604,100/109,137
  6. Step 6: Final answer
    x = 259,257.67

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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.