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Finding the Third Proportional to 73,207 and 159,799

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Solution

The third proportional to 73,207 and 159,799 is: 348,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,207 : 159,799 = 159,799 : x
  2. Step 2: Convert to fraction form
    73,207/159,799 = 159,799/x
  3. Step 3: Cross multiply
    73,207x = 159,799 × 159,799
  4. Step 4: Simplify right side
    73,207x = 25,535,720,401
  5. Step 5: Solve for x
    x = 25,535,720,401/73,207
  6. Step 6: Final answer
    x = 348,815.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.