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Finding the Third Proportional to 67,894 and 147,836

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Solution

The third proportional to 67,894 and 147,836 is: 321,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,894 : 147,836 = 147,836 : x
  2. Step 2: Convert to fraction form
    67,894/147,836 = 147,836/x
  3. Step 3: Cross multiply
    67,894x = 147,836 × 147,836
  4. Step 4: Simplify right side
    67,894x = 21,855,482,896
  5. Step 5: Solve for x
    x = 21,855,482,896/67,894
  6. Step 6: Final answer
    x = 321,905.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.