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Finding the Third Proportional to 45,747 and 96,414

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Solution

The third proportional to 45,747 and 96,414 is: 203,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,747 : 96,414 = 96,414 : x
  2. Step 2: Convert to fraction form
    45,747/96,414 = 96,414/x
  3. Step 3: Cross multiply
    45,747x = 96,414 × 96,414
  4. Step 4: Simplify right side
    45,747x = 9,295,659,396
  5. Step 5: Solve for x
    x = 9,295,659,396/45,747
  6. Step 6: Final answer
    x = 203,197.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.