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Finding the Third Proportional to 45,510 and 68,901

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Solution

The third proportional to 45,510 and 68,901 is: 104,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,510 : 68,901 = 68,901 : x
  2. Step 2: Convert to fraction form
    45,510/68,901 = 68,901/x
  3. Step 3: Cross multiply
    45,510x = 68,901 × 68,901
  4. Step 4: Simplify right side
    45,510x = 4,747,347,801
  5. Step 5: Solve for x
    x = 4,747,347,801/45,510
  6. Step 6: Final answer
    x = 104,314.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.