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Finding the Third Proportional to 64,764 and 140,924

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Solution

The third proportional to 64,764 and 140,924 is: 306,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,764 : 140,924 = 140,924 : x
  2. Step 2: Convert to fraction form
    64,764/140,924 = 140,924/x
  3. Step 3: Cross multiply
    64,764x = 140,924 × 140,924
  4. Step 4: Simplify right side
    64,764x = 19,859,573,776
  5. Step 5: Solve for x
    x = 19,859,573,776/64,764
  6. Step 6: Final answer
    x = 306,645.26

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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.