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Finding the Third Proportional to 45,794 and 72,379

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Solution

The third proportional to 45,794 and 72,379 is: 114,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,794 : 72,379 = 72,379 : x
  2. Step 2: Convert to fraction form
    45,794/72,379 = 72,379/x
  3. Step 3: Cross multiply
    45,794x = 72,379 × 72,379
  4. Step 4: Simplify right side
    45,794x = 5,238,719,641
  5. Step 5: Solve for x
    x = 5,238,719,641/45,794
  6. Step 6: Final answer
    x = 114,397.51

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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.