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Finding the Third Proportional to 73,203 and 159,791

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Solution

The third proportional to 73,203 and 159,791 is: 348,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,203 : 159,791 = 159,791 : x
  2. Step 2: Convert to fraction form
    73,203/159,791 = 159,791/x
  3. Step 3: Cross multiply
    73,203x = 159,791 × 159,791
  4. Step 4: Simplify right side
    73,203x = 25,533,163,681
  5. Step 5: Solve for x
    x = 25,533,163,681/73,203
  6. Step 6: Final answer
    x = 348,799.42

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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.