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Finding the Third Proportional to 109,100 and 237,616

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Solution

The third proportional to 109,100 and 237,616 is: 517,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,100 : 237,616 = 237,616 : x
  2. Step 2: Convert to fraction form
    109,100/237,616 = 237,616/x
  3. Step 3: Cross multiply
    109,100x = 237,616 × 237,616
  4. Step 4: Simplify right side
    109,100x = 56,461,363,456
  5. Step 5: Solve for x
    x = 56,461,363,456/109,100
  6. Step 6: Final answer
    x = 517,519.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.