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Finding the Third Proportional to 73,201 and 159,787

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Solution

The third proportional to 73,201 and 159,787 is: 348,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,201 : 159,787 = 159,787 : x
  2. Step 2: Convert to fraction form
    73,201/159,787 = 159,787/x
  3. Step 3: Cross multiply
    73,201x = 159,787 × 159,787
  4. Step 4: Simplify right side
    73,201x = 25,531,885,369
  5. Step 5: Solve for x
    x = 25,531,885,369/73,201
  6. Step 6: Final answer
    x = 348,791.48

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Why These Related Problems?

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