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Finding the Third Proportional to 45,344 and 71,494

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Solution

The third proportional to 45,344 and 71,494 is: 112,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,344 : 71,494 = 71,494 : x
  2. Step 2: Convert to fraction form
    45,344/71,494 = 71,494/x
  3. Step 3: Cross multiply
    45,344x = 71,494 × 71,494
  4. Step 4: Simplify right side
    45,344x = 5,111,392,036
  5. Step 5: Solve for x
    x = 5,111,392,036/45,344
  6. Step 6: Final answer
    x = 112,724.77

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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.