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Finding the Third Proportional to 97,558 and 145,919

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Solution

The third proportional to 97,558 and 145,919 is: 218,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,558 : 145,919 = 145,919 : x
  2. Step 2: Convert to fraction form
    97,558/145,919 = 145,919/x
  3. Step 3: Cross multiply
    97,558x = 145,919 × 145,919
  4. Step 4: Simplify right side
    97,558x = 21,292,354,561
  5. Step 5: Solve for x
    x = 21,292,354,561/97,558
  6. Step 6: Final answer
    x = 218,253.29

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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.