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Finding the Third Proportional to 63,012 and 136,368

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Solution

The third proportional to 63,012 and 136,368 is: 295,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,012 : 136,368 = 136,368 : x
  2. Step 2: Convert to fraction form
    63,012/136,368 = 136,368/x
  3. Step 3: Cross multiply
    63,012x = 136,368 × 136,368
  4. Step 4: Simplify right side
    63,012x = 18,596,231,424
  5. Step 5: Solve for x
    x = 18,596,231,424/63,012
  6. Step 6: Final answer
    x = 295,122.06

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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.