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Finding the Third Proportional to 45,344 and 97,974

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Solution

The third proportional to 45,344 and 97,974 is: 211,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,344 : 97,974 = 97,974 : x
  2. Step 2: Convert to fraction form
    45,344/97,974 = 97,974/x
  3. Step 3: Cross multiply
    45,344x = 97,974 × 97,974
  4. Step 4: Simplify right side
    45,344x = 9,598,904,676
  5. Step 5: Solve for x
    x = 9,598,904,676/45,344
  6. Step 6: Final answer
    x = 211,690.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.