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Finding the Third Proportional to 63,017 and 136,378

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Solution

The third proportional to 63,017 and 136,378 is: 295,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,017 : 136,378 = 136,378 : x
  2. Step 2: Convert to fraction form
    63,017/136,378 = 136,378/x
  3. Step 3: Cross multiply
    63,017x = 136,378 × 136,378
  4. Step 4: Simplify right side
    63,017x = 18,598,958,884
  5. Step 5: Solve for x
    x = 18,598,958,884/63,017
  6. Step 6: Final answer
    x = 295,141.93

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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.