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Finding the Third Proportional to 66,217 and 85,022

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Solution

The third proportional to 66,217 and 85,022 is: 109,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,217 : 85,022 = 85,022 : x
  2. Step 2: Convert to fraction form
    66,217/85,022 = 85,022/x
  3. Step 3: Cross multiply
    66,217x = 85,022 × 85,022
  4. Step 4: Simplify right side
    66,217x = 7,228,740,484
  5. Step 5: Solve for x
    x = 7,228,740,484/66,217
  6. Step 6: Final answer
    x = 109,167.44

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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.