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Finding the Third Proportional to 45,509 and 67,912

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Solution

The third proportional to 45,509 and 67,912 is: 101,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,509 : 67,912 = 67,912 : x
  2. Step 2: Convert to fraction form
    45,509/67,912 = 67,912/x
  3. Step 3: Cross multiply
    45,509x = 67,912 × 67,912
  4. Step 4: Simplify right side
    45,509x = 4,612,039,744
  5. Step 5: Solve for x
    x = 4,612,039,744/45,509
  6. Step 6: Final answer
    x = 101,343.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.