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Finding the Third Proportional to 66,144 and 99,814

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Solution

The third proportional to 66,144 and 99,814 is: 150,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,144 : 99,814 = 99,814 : x
  2. Step 2: Convert to fraction form
    66,144/99,814 = 99,814/x
  3. Step 3: Cross multiply
    66,144x = 99,814 × 99,814
  4. Step 4: Simplify right side
    66,144x = 9,962,834,596
  5. Step 5: Solve for x
    x = 9,962,834,596/66,144
  6. Step 6: Final answer
    x = 150,623.41

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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.