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Finding the Third Proportional to 47,774 and 75,327

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Solution

The third proportional to 47,774 and 75,327 is: 118,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,774 : 75,327 = 75,327 : x
  2. Step 2: Convert to fraction form
    47,774/75,327 = 75,327/x
  3. Step 3: Cross multiply
    47,774x = 75,327 × 75,327
  4. Step 4: Simplify right side
    47,774x = 5,674,156,929
  5. Step 5: Solve for x
    x = 5,674,156,929/47,774
  6. Step 6: Final answer
    x = 118,770.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.