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Finding the Third Proportional to 67,868 and 147,784

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Solution

The third proportional to 67,868 and 147,784 is: 321,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,868 : 147,784 = 147,784 : x
  2. Step 2: Convert to fraction form
    67,868/147,784 = 147,784/x
  3. Step 3: Cross multiply
    67,868x = 147,784 × 147,784
  4. Step 4: Simplify right side
    67,868x = 21,840,110,656
  5. Step 5: Solve for x
    x = 21,840,110,656/67,868
  6. Step 6: Final answer
    x = 321,802.77

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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.