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Finding the Third Proportional to 68,164 and 105,708

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Solution

The third proportional to 68,164 and 105,708 is: 163,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,164 : 105,708 = 105,708 : x
  2. Step 2: Convert to fraction form
    68,164/105,708 = 105,708/x
  3. Step 3: Cross multiply
    68,164x = 105,708 × 105,708
  4. Step 4: Simplify right side
    68,164x = 11,174,181,264
  5. Step 5: Solve for x
    x = 11,174,181,264/68,164
  6. Step 6: Final answer
    x = 163,930.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.