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Finding the Third Proportional to 45,464 and 96,472

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Solution

The third proportional to 45,464 and 96,472 is: 204,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,464 : 96,472 = 96,472 : x
  2. Step 2: Convert to fraction form
    45,464/96,472 = 96,472/x
  3. Step 3: Cross multiply
    45,464x = 96,472 × 96,472
  4. Step 4: Simplify right side
    45,464x = 9,306,846,784
  5. Step 5: Solve for x
    x = 9,306,846,784/45,464
  6. Step 6: Final answer
    x = 204,708.05

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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.