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Finding the Third Proportional to 63,297 and 137,933

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Solution

The third proportional to 63,297 and 137,933 is: 300,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,297 : 137,933 = 137,933 : x
  2. Step 2: Convert to fraction form
    63,297/137,933 = 137,933/x
  3. Step 3: Cross multiply
    63,297x = 137,933 × 137,933
  4. Step 4: Simplify right side
    63,297x = 19,025,512,489
  5. Step 5: Solve for x
    x = 19,025,512,489/63,297
  6. Step 6: Final answer
    x = 300,575.26

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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.