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Finding the Third Proportional to 73,112 and 151,408

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Solution

The third proportional to 73,112 and 151,408 is: 313,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,112 : 151,408 = 151,408 : x
  2. Step 2: Convert to fraction form
    73,112/151,408 = 151,408/x
  3. Step 3: Cross multiply
    73,112x = 151,408 × 151,408
  4. Step 4: Simplify right side
    73,112x = 22,924,382,464
  5. Step 5: Solve for x
    x = 22,924,382,464/73,112
  6. Step 6: Final answer
    x = 313,551.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.