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Finding the Third Proportional to 66,219 and 85,023

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Solution

The third proportional to 66,219 and 85,023 is: 109,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,219 : 85,023 = 85,023 : x
  2. Step 2: Convert to fraction form
    66,219/85,023 = 85,023/x
  3. Step 3: Cross multiply
    66,219x = 85,023 × 85,023
  4. Step 4: Simplify right side
    66,219x = 7,228,910,529
  5. Step 5: Solve for x
    x = 7,228,910,529/66,219
  6. Step 6: Final answer
    x = 109,166.71

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.