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Finding the Third Proportional to 45,361 and 96,121

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Solution

The third proportional to 45,361 and 96,121 is: 203,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,361 : 96,121 = 96,121 : x
  2. Step 2: Convert to fraction form
    45,361/96,121 = 96,121/x
  3. Step 3: Cross multiply
    45,361x = 96,121 × 96,121
  4. Step 4: Simplify right side
    45,361x = 9,239,246,641
  5. Step 5: Solve for x
    x = 9,239,246,641/45,361
  6. Step 6: Final answer
    x = 203,682.60

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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.