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Finding the Third Proportional to 68,117 and 148,496

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Solution

The third proportional to 68,117 and 148,496 is: 323,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,117 : 148,496 = 148,496 : x
  2. Step 2: Convert to fraction form
    68,117/148,496 = 148,496/x
  3. Step 3: Cross multiply
    68,117x = 148,496 × 148,496
  4. Step 4: Simplify right side
    68,117x = 22,051,062,016
  5. Step 5: Solve for x
    x = 22,051,062,016/68,117
  6. Step 6: Final answer
    x = 323,723.33

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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.