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Finding the Third Proportional to 62,764 and 138,164

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Solution

The third proportional to 62,764 and 138,164 is: 304,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,764 : 138,164 = 138,164 : x
  2. Step 2: Convert to fraction form
    62,764/138,164 = 138,164/x
  3. Step 3: Cross multiply
    62,764x = 138,164 × 138,164
  4. Step 4: Simplify right side
    62,764x = 19,089,290,896
  5. Step 5: Solve for x
    x = 19,089,290,896/62,764
  6. Step 6: Final answer
    x = 304,143.95

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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.