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Finding the Third Proportional to 73,051 and 151,718

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Solution

The third proportional to 73,051 and 151,718 is: 315,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,051 : 151,718 = 151,718 : x
  2. Step 2: Convert to fraction form
    73,051/151,718 = 151,718/x
  3. Step 3: Cross multiply
    73,051x = 151,718 × 151,718
  4. Step 4: Simplify right side
    73,051x = 23,018,351,524
  5. Step 5: Solve for x
    x = 23,018,351,524/73,051
  6. Step 6: Final answer
    x = 315,099.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.