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Finding the Third Proportional to 67,816 and 97,836

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Solution

The third proportional to 67,816 and 97,836 is: 141,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,816 : 97,836 = 97,836 : x
  2. Step 2: Convert to fraction form
    67,816/97,836 = 97,836/x
  3. Step 3: Cross multiply
    67,816x = 97,836 × 97,836
  4. Step 4: Simplify right side
    67,816x = 9,571,882,896
  5. Step 5: Solve for x
    x = 9,571,882,896/67,816
  6. Step 6: Final answer
    x = 141,144.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.