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Finding the Third Proportional to 96,826 and 145,233

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Solution

The third proportional to 96,826 and 145,233 is: 217,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,826 : 145,233 = 145,233 : x
  2. Step 2: Convert to fraction form
    96,826/145,233 = 145,233/x
  3. Step 3: Cross multiply
    96,826x = 145,233 × 145,233
  4. Step 4: Simplify right side
    96,826x = 21,092,624,289
  5. Step 5: Solve for x
    x = 21,092,624,289/96,826
  6. Step 6: Final answer
    x = 217,840.50

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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.