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Finding the Third Proportional to 63,844 and 137,297

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Solution

The third proportional to 63,844 and 137,297 is: 295,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,844 : 137,297 = 137,297 : x
  2. Step 2: Convert to fraction form
    63,844/137,297 = 137,297/x
  3. Step 3: Cross multiply
    63,844x = 137,297 × 137,297
  4. Step 4: Simplify right side
    63,844x = 18,850,466,209
  5. Step 5: Solve for x
    x = 18,850,466,209/63,844
  6. Step 6: Final answer
    x = 295,258.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.