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Finding the Third Proportional to 68,009 and 148,062

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Solution

The third proportional to 68,009 and 148,062 is: 322,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,009 : 148,062 = 148,062 : x
  2. Step 2: Convert to fraction form
    68,009/148,062 = 148,062/x
  3. Step 3: Cross multiply
    68,009x = 148,062 × 148,062
  4. Step 4: Simplify right side
    68,009x = 21,922,355,844
  5. Step 5: Solve for x
    x = 21,922,355,844/68,009
  6. Step 6: Final answer
    x = 322,344.92

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Why These Related Problems?

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