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Finding the Third Proportional to 73,736 and 157,126

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Solution

The third proportional to 73,736 and 157,126 is: 334,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,736 : 157,126 = 157,126 : x
  2. Step 2: Convert to fraction form
    73,736/157,126 = 157,126/x
  3. Step 3: Cross multiply
    73,736x = 157,126 × 157,126
  4. Step 4: Simplify right side
    73,736x = 24,688,579,876
  5. Step 5: Solve for x
    x = 24,688,579,876/73,736
  6. Step 6: Final answer
    x = 334,823.96

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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.