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Finding the Third Proportional to 64,750 and 140,896

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Solution

The third proportional to 64,750 and 140,896 is: 306,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,750 : 140,896 = 140,896 : x
  2. Step 2: Convert to fraction form
    64,750/140,896 = 140,896/x
  3. Step 3: Cross multiply
    64,750x = 140,896 × 140,896
  4. Step 4: Simplify right side
    64,750x = 19,851,682,816
  5. Step 5: Solve for x
    x = 19,851,682,816/64,750
  6. Step 6: Final answer
    x = 306,589.70

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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.