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Finding the Third Proportional to 68,983 and 151,214

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Solution

The third proportional to 68,983 and 151,214 is: 331,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,983 : 151,214 = 151,214 : x
  2. Step 2: Convert to fraction form
    68,983/151,214 = 151,214/x
  3. Step 3: Cross multiply
    68,983x = 151,214 × 151,214
  4. Step 4: Simplify right side
    68,983x = 22,865,673,796
  5. Step 5: Solve for x
    x = 22,865,673,796/68,983
  6. Step 6: Final answer
    x = 331,468.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.