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Finding the Third Proportional to 63,368 and 134,476

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Solution

The third proportional to 63,368 and 134,476 is: 285,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,368 : 134,476 = 134,476 : x
  2. Step 2: Convert to fraction form
    63,368/134,476 = 134,476/x
  3. Step 3: Cross multiply
    63,368x = 134,476 × 134,476
  4. Step 4: Simplify right side
    63,368x = 18,083,794,576
  5. Step 5: Solve for x
    x = 18,083,794,576/63,368
  6. Step 6: Final answer
    x = 285,377.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.