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Finding the Third Proportional to 68,264 and 105,948

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Solution

The third proportional to 68,264 and 105,948 is: 164,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,264 : 105,948 = 105,948 : x
  2. Step 2: Convert to fraction form
    68,264/105,948 = 105,948/x
  3. Step 3: Cross multiply
    68,264x = 105,948 × 105,948
  4. Step 4: Simplify right side
    68,264x = 11,224,978,704
  5. Step 5: Solve for x
    x = 11,224,978,704/68,264
  6. Step 6: Final answer
    x = 164,434.82

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