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Finding the Third Proportional to 45,564 and 96,078

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Solution

The third proportional to 45,564 and 96,078 is: 202,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,564 : 96,078 = 96,078 : x
  2. Step 2: Convert to fraction form
    45,564/96,078 = 96,078/x
  3. Step 3: Cross multiply
    45,564x = 96,078 × 96,078
  4. Step 4: Simplify right side
    45,564x = 9,230,982,084
  5. Step 5: Solve for x
    x = 9,230,982,084/45,564
  6. Step 6: Final answer
    x = 202,593.76

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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.