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Finding the Third Proportional to 45,801 and 96,522

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Solution

The third proportional to 45,801 and 96,522 is: 203,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,801 : 96,522 = 96,522 : x
  2. Step 2: Convert to fraction form
    45,801/96,522 = 96,522/x
  3. Step 3: Cross multiply
    45,801x = 96,522 × 96,522
  4. Step 4: Simplify right side
    45,801x = 9,316,496,484
  5. Step 5: Solve for x
    x = 9,316,496,484/45,801
  6. Step 6: Final answer
    x = 203,412.51

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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.