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Finding the Third Proportional to 118,647 and 247,136

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Solution

The third proportional to 118,647 and 247,136 is: 514,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,647 : 247,136 = 247,136 : x
  2. Step 2: Convert to fraction form
    118,647/247,136 = 247,136/x
  3. Step 3: Cross multiply
    118,647x = 247,136 × 247,136
  4. Step 4: Simplify right side
    118,647x = 61,076,202,496
  5. Step 5: Solve for x
    x = 61,076,202,496/118,647
  6. Step 6: Final answer
    x = 514,772.41

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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.