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Finding the Third Proportional to 63,434 and 136,612

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Solution

The third proportional to 63,434 and 136,612 is: 294,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,434 : 136,612 = 136,612 : x
  2. Step 2: Convert to fraction form
    63,434/136,612 = 136,612/x
  3. Step 3: Cross multiply
    63,434x = 136,612 × 136,612
  4. Step 4: Simplify right side
    63,434x = 18,662,838,544
  5. Step 5: Solve for x
    x = 18,662,838,544/63,434
  6. Step 6: Final answer
    x = 294,208.76

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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.