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Finding the Third Proportional to 63,728 and 136,132

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Solution

The third proportional to 63,728 and 136,132 is: 290,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,728 : 136,132 = 136,132 : x
  2. Step 2: Convert to fraction form
    63,728/136,132 = 136,132/x
  3. Step 3: Cross multiply
    63,728x = 136,132 × 136,132
  4. Step 4: Simplify right side
    63,728x = 18,531,921,424
  5. Step 5: Solve for x
    x = 18,531,921,424/63,728
  6. Step 6: Final answer
    x = 290,797.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.