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Finding the Third Proportional to 36,394 and 75,898

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Solution

The third proportional to 36,394 and 75,898 is: 158,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,394 : 75,898 = 75,898 : x
  2. Step 2: Convert to fraction form
    36,394/75,898 = 75,898/x
  3. Step 3: Cross multiply
    36,394x = 75,898 × 75,898
  4. Step 4: Simplify right side
    36,394x = 5,760,506,404
  5. Step 5: Solve for x
    x = 5,760,506,404/36,394
  6. Step 6: Final answer
    x = 158,281.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.