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Finding the Third Proportional to 63,200 and 136,536

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Solution

The third proportional to 63,200 and 136,536 is: 294,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,200 : 136,536 = 136,536 : x
  2. Step 2: Convert to fraction form
    63,200/136,536 = 136,536/x
  3. Step 3: Cross multiply
    63,200x = 136,536 × 136,536
  4. Step 4: Simplify right side
    63,200x = 18,642,079,296
  5. Step 5: Solve for x
    x = 18,642,079,296/63,200
  6. Step 6: Final answer
    x = 294,969.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.