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Finding the Third Proportional to 63,101 and 137,353

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Solution

The third proportional to 63,101 and 137,353 is: 298,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,101 : 137,353 = 137,353 : x
  2. Step 2: Convert to fraction form
    63,101/137,353 = 137,353/x
  3. Step 3: Cross multiply
    63,101x = 137,353 × 137,353
  4. Step 4: Simplify right side
    63,101x = 18,865,846,609
  5. Step 5: Solve for x
    x = 18,865,846,609/63,101
  6. Step 6: Final answer
    x = 298,978.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.