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Finding the Third Proportional to 63,137 and 105,215

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Solution

The third proportional to 63,137 and 105,215 is: 175,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,137 : 105,215 = 105,215 : x
  2. Step 2: Convert to fraction form
    63,137/105,215 = 105,215/x
  3. Step 3: Cross multiply
    63,137x = 105,215 × 105,215
  4. Step 4: Simplify right side
    63,137x = 11,070,196,225
  5. Step 5: Solve for x
    x = 11,070,196,225/63,137
  6. Step 6: Final answer
    x = 175,336.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.