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Finding the Third Proportional to 45,140 and 97,812

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Solution

The third proportional to 45,140 and 97,812 is: 211,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,140 : 97,812 = 97,812 : x
  2. Step 2: Convert to fraction form
    45,140/97,812 = 97,812/x
  3. Step 3: Cross multiply
    45,140x = 97,812 × 97,812
  4. Step 4: Simplify right side
    45,140x = 9,567,187,344
  5. Step 5: Solve for x
    x = 9,567,187,344/45,140
  6. Step 6: Final answer
    x = 211,944.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.