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Finding the Third Proportional to 67,222 and 94,211

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Solution

The third proportional to 67,222 and 94,211 is: 132,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,222 : 94,211 = 94,211 : x
  2. Step 2: Convert to fraction form
    67,222/94,211 = 94,211/x
  3. Step 3: Cross multiply
    67,222x = 94,211 × 94,211
  4. Step 4: Simplify right side
    67,222x = 8,875,712,521
  5. Step 5: Solve for x
    x = 8,875,712,521/67,222
  6. Step 6: Final answer
    x = 132,035.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.