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Finding the Third Proportional to 97,204 and 145,806

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Solution

The third proportional to 97,204 and 145,806 is: 218,709

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,204 : 145,806 = 145,806 : x
  2. Step 2: Convert to fraction form
    97,204/145,806 = 145,806/x
  3. Step 3: Cross multiply
    97,204x = 145,806 × 145,806
  4. Step 4: Simplify right side
    97,204x = 21,259,389,636
  5. Step 5: Solve for x
    x = 21,259,389,636/97,204
  6. Step 6: Final answer
    x = 218,709

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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.