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Finding the Third Proportional to 63,133 and 138,721

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Solution

The third proportional to 63,133 and 138,721 is: 304,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,133 : 138,721 = 138,721 : x
  2. Step 2: Convert to fraction form
    63,133/138,721 = 138,721/x
  3. Step 3: Cross multiply
    63,133x = 138,721 × 138,721
  4. Step 4: Simplify right side
    63,133x = 19,243,515,841
  5. Step 5: Solve for x
    x = 19,243,515,841/63,133
  6. Step 6: Final answer
    x = 304,809.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.