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Finding the Third Proportional to 68,948 and 103,326

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Solution

The third proportional to 68,948 and 103,326 is: 154,845.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,948 : 103,326 = 103,326 : x
  2. Step 2: Convert to fraction form
    68,948/103,326 = 103,326/x
  3. Step 3: Cross multiply
    68,948x = 103,326 × 103,326
  4. Step 4: Simplify right side
    68,948x = 10,676,262,276
  5. Step 5: Solve for x
    x = 10,676,262,276/68,948
  6. Step 6: Final answer
    x = 154,845.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.