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Finding the Third Proportional to 36,468 and 75,466

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Solution

The third proportional to 36,468 and 75,466 is: 156,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,468 : 75,466 = 75,466 : x
  2. Step 2: Convert to fraction form
    36,468/75,466 = 75,466/x
  3. Step 3: Cross multiply
    36,468x = 75,466 × 75,466
  4. Step 4: Simplify right side
    36,468x = 5,695,117,156
  5. Step 5: Solve for x
    x = 5,695,117,156/36,468
  6. Step 6: Final answer
    x = 156,167.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.