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Finding the Third Proportional to 45,609 and 68,230

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Solution

The third proportional to 45,609 and 68,230 is: 102,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,609 : 68,230 = 68,230 : x
  2. Step 2: Convert to fraction form
    45,609/68,230 = 68,230/x
  3. Step 3: Cross multiply
    45,609x = 68,230 × 68,230
  4. Step 4: Simplify right side
    45,609x = 4,655,332,900
  5. Step 5: Solve for x
    x = 4,655,332,900/45,609
  6. Step 6: Final answer
    x = 102,070.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.