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Finding the Third Proportional to 45,244 and 97,934

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Solution

The third proportional to 45,244 and 97,934 is: 211,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,244 : 97,934 = 97,934 : x
  2. Step 2: Convert to fraction form
    45,244/97,934 = 97,934/x
  3. Step 3: Cross multiply
    45,244x = 97,934 × 97,934
  4. Step 4: Simplify right side
    45,244x = 9,591,068,356
  5. Step 5: Solve for x
    x = 9,591,068,356/45,244
  6. Step 6: Final answer
    x = 211,985.42

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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.