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Finding the Third Proportional to 103,629 and 154,802

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Solution

The third proportional to 103,629 and 154,802 is: 231,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,629 : 154,802 = 154,802 : x
  2. Step 2: Convert to fraction form
    103,629/154,802 = 154,802/x
  3. Step 3: Cross multiply
    103,629x = 154,802 × 154,802
  4. Step 4: Simplify right side
    103,629x = 23,963,659,204
  5. Step 5: Solve for x
    x = 23,963,659,204/103,629
  6. Step 6: Final answer
    x = 231,244.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.