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Finding the Third Proportional to 68,018 and 148,084

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Solution

The third proportional to 68,018 and 148,084 is: 322,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,018 : 148,084 = 148,084 : x
  2. Step 2: Convert to fraction form
    68,018/148,084 = 148,084/x
  3. Step 3: Cross multiply
    68,018x = 148,084 × 148,084
  4. Step 4: Simplify right side
    68,018x = 21,928,871,056
  5. Step 5: Solve for x
    x = 21,928,871,056/68,018
  6. Step 6: Final answer
    x = 322,398.06

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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.