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Finding the Third Proportional to 68,005 and 148,108

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Solution

The third proportional to 68,005 and 148,108 is: 322,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,005 : 148,108 = 148,108 : x
  2. Step 2: Convert to fraction form
    68,005/148,108 = 148,108/x
  3. Step 3: Cross multiply
    68,005x = 148,108 × 148,108
  4. Step 4: Simplify right side
    68,005x = 21,935,979,664
  5. Step 5: Solve for x
    x = 21,935,979,664/68,005
  6. Step 6: Final answer
    x = 322,564.22

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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.