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Finding the Third Proportional to 97,817 and 148,780

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Solution

The third proportional to 97,817 and 148,780 is: 226,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,817 : 148,780 = 148,780 : x
  2. Step 2: Convert to fraction form
    97,817/148,780 = 148,780/x
  3. Step 3: Cross multiply
    97,817x = 148,780 × 148,780
  4. Step 4: Simplify right side
    97,817x = 22,135,488,400
  5. Step 5: Solve for x
    x = 22,135,488,400/97,817
  6. Step 6: Final answer
    x = 226,294.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.