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Finding the Third Proportional to 36,461 and 85,849

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Solution

The third proportional to 36,461 and 85,849 is: 202,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,461 : 85,849 = 85,849 : x
  2. Step 2: Convert to fraction form
    36,461/85,849 = 85,849/x
  3. Step 3: Cross multiply
    36,461x = 85,849 × 85,849
  4. Step 4: Simplify right side
    36,461x = 7,370,050,801
  5. Step 5: Solve for x
    x = 7,370,050,801/36,461
  6. Step 6: Final answer
    x = 202,135.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.