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Finding the Third Proportional to 67,313 and 146,850

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Solution

The third proportional to 67,313 and 146,850 is: 320,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,313 : 146,850 = 146,850 : x
  2. Step 2: Convert to fraction form
    67,313/146,850 = 146,850/x
  3. Step 3: Cross multiply
    67,313x = 146,850 × 146,850
  4. Step 4: Simplify right side
    67,313x = 21,564,922,500
  5. Step 5: Solve for x
    x = 21,564,922,500/67,313
  6. Step 6: Final answer
    x = 320,367.87

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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.