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Finding the Third Proportional to 67,451 and 102,185

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Solution

The third proportional to 67,451 and 102,185 is: 154,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,451 : 102,185 = 102,185 : x
  2. Step 2: Convert to fraction form
    67,451/102,185 = 102,185/x
  3. Step 3: Cross multiply
    67,451x = 102,185 × 102,185
  4. Step 4: Simplify right side
    67,451x = 10,441,774,225
  5. Step 5: Solve for x
    x = 10,441,774,225/67,451
  6. Step 6: Final answer
    x = 154,805.33

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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.