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Finding the Third Proportional to 63,364 and 138,824

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Solution

The third proportional to 63,364 and 138,824 is: 304,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,364 : 138,824 = 138,824 : x
  2. Step 2: Convert to fraction form
    63,364/138,824 = 138,824/x
  3. Step 3: Cross multiply
    63,364x = 138,824 × 138,824
  4. Step 4: Simplify right side
    63,364x = 19,272,102,976
  5. Step 5: Solve for x
    x = 19,272,102,976/63,364
  6. Step 6: Final answer
    x = 304,149.09

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