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Finding the Third Proportional to 96,840 and 145,211

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Solution

The third proportional to 96,840 and 145,211 is: 217,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,840 : 145,211 = 145,211 : x
  2. Step 2: Convert to fraction form
    96,840/145,211 = 145,211/x
  3. Step 3: Cross multiply
    96,840x = 145,211 × 145,211
  4. Step 4: Simplify right side
    96,840x = 21,086,234,521
  5. Step 5: Solve for x
    x = 21,086,234,521/96,840
  6. Step 6: Final answer
    x = 217,743.02

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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.