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Finding the Third Proportional to 103,568 and 151,948

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Solution

The third proportional to 103,568 and 151,948 is: 222,927.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,568 : 151,948 = 151,948 : x
  2. Step 2: Convert to fraction form
    103,568/151,948 = 151,948/x
  3. Step 3: Cross multiply
    103,568x = 151,948 × 151,948
  4. Step 4: Simplify right side
    103,568x = 23,088,194,704
  5. Step 5: Solve for x
    x = 23,088,194,704/103,568
  6. Step 6: Final answer
    x = 222,927.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.