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Finding the Third Proportional to 73,112 and 159,445

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Solution

The third proportional to 73,112 and 159,445 is: 347,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,112 : 159,445 = 159,445 : x
  2. Step 2: Convert to fraction form
    73,112/159,445 = 159,445/x
  3. Step 3: Cross multiply
    73,112x = 159,445 × 159,445
  4. Step 4: Simplify right side
    73,112x = 25,422,708,025
  5. Step 5: Solve for x
    x = 25,422,708,025/73,112
  6. Step 6: Final answer
    x = 347,722.78

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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.