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Finding the Third Proportional to 36,705 and 97,742

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Solution

The third proportional to 36,705 and 97,742 is: 260,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,705 : 97,742 = 97,742 : x
  2. Step 2: Convert to fraction form
    36,705/97,742 = 97,742/x
  3. Step 3: Cross multiply
    36,705x = 97,742 × 97,742
  4. Step 4: Simplify right side
    36,705x = 9,553,498,564
  5. Step 5: Solve for x
    x = 9,553,498,564/36,705
  6. Step 6: Final answer
    x = 260,277.85

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.