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Finding the Third Proportional to 45,472 and 96,352

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Solution

The third proportional to 45,472 and 96,352 is: 204,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,472 : 96,352 = 96,352 : x
  2. Step 2: Convert to fraction form
    45,472/96,352 = 96,352/x
  3. Step 3: Cross multiply
    45,472x = 96,352 × 96,352
  4. Step 4: Simplify right side
    45,472x = 9,283,707,904
  5. Step 5: Solve for x
    x = 9,283,707,904/45,472
  6. Step 6: Final answer
    x = 204,163.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.