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Finding the Third Proportional to 73,807 and 157,279

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Solution

The third proportional to 73,807 and 157,279 is: 335,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,807 : 157,279 = 157,279 : x
  2. Step 2: Convert to fraction form
    73,807/157,279 = 157,279/x
  3. Step 3: Cross multiply
    73,807x = 157,279 × 157,279
  4. Step 4: Simplify right side
    73,807x = 24,736,683,841
  5. Step 5: Solve for x
    x = 24,736,683,841/73,807
  6. Step 6: Final answer
    x = 335,153.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.