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Finding the Third Proportional to 73,112 and 159,446

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Solution

The third proportional to 73,112 and 159,446 is: 347,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,112 : 159,446 = 159,446 : x
  2. Step 2: Convert to fraction form
    73,112/159,446 = 159,446/x
  3. Step 3: Cross multiply
    73,112x = 159,446 × 159,446
  4. Step 4: Simplify right side
    73,112x = 25,423,026,916
  5. Step 5: Solve for x
    x = 25,423,026,916/73,112
  6. Step 6: Final answer
    x = 347,727.14

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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.