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Finding the Third Proportional to 63,436 and 136,616

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Solution

The third proportional to 63,436 and 136,616 is: 294,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,436 : 136,616 = 136,616 : x
  2. Step 2: Convert to fraction form
    63,436/136,616 = 136,616/x
  3. Step 3: Cross multiply
    63,436x = 136,616 × 136,616
  4. Step 4: Simplify right side
    63,436x = 18,663,931,456
  5. Step 5: Solve for x
    x = 18,663,931,456/63,436
  6. Step 6: Final answer
    x = 294,216.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.