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Finding the Third Proportional to 63,633 and 134,229

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Solution

The third proportional to 63,633 and 134,229 is: 283,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,633 : 134,229 = 134,229 : x
  2. Step 2: Convert to fraction form
    63,633/134,229 = 134,229/x
  3. Step 3: Cross multiply
    63,633x = 134,229 × 134,229
  4. Step 4: Simplify right side
    63,633x = 18,017,424,441
  5. Step 5: Solve for x
    x = 18,017,424,441/63,633
  6. Step 6: Final answer
    x = 283,145.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.