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Finding the Third Proportional to 109,204 and 237,639

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Solution

The third proportional to 109,204 and 237,639 is: 517,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,204 : 237,639 = 237,639 : x
  2. Step 2: Convert to fraction form
    109,204/237,639 = 237,639/x
  3. Step 3: Cross multiply
    109,204x = 237,639 × 237,639
  4. Step 4: Simplify right side
    109,204x = 56,472,294,321
  5. Step 5: Solve for x
    x = 56,472,294,321/109,204
  6. Step 6: Final answer
    x = 517,126.61

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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.