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Finding the Third Proportional to 45,216 and 96,264

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Solution

The third proportional to 45,216 and 96,264 is: 204,944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,216 : 96,264 = 96,264 : x
  2. Step 2: Convert to fraction form
    45,216/96,264 = 96,264/x
  3. Step 3: Cross multiply
    45,216x = 96,264 × 96,264
  4. Step 4: Simplify right side
    45,216x = 9,266,757,696
  5. Step 5: Solve for x
    x = 9,266,757,696/45,216
  6. Step 6: Final answer
    x = 204,944.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.