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Finding the Third Proportional to 63,203 and 138,283

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Solution

The third proportional to 63,203 and 138,283 is: 302,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,203 : 138,283 = 138,283 : x
  2. Step 2: Convert to fraction form
    63,203/138,283 = 138,283/x
  3. Step 3: Cross multiply
    63,203x = 138,283 × 138,283
  4. Step 4: Simplify right side
    63,203x = 19,122,188,089
  5. Step 5: Solve for x
    x = 19,122,188,089/63,203
  6. Step 6: Final answer
    x = 302,551.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.