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Finding the Third Proportional to 65,714 and 96,843

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Solution

The third proportional to 65,714 and 96,843 is: 142,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714 : 96,843 = 96,843 : x
  2. Step 2: Convert to fraction form
    65,714/96,843 = 96,843/x
  3. Step 3: Cross multiply
    65,714x = 96,843 × 96,843
  4. Step 4: Simplify right side
    65,714x = 9,378,566,649
  5. Step 5: Solve for x
    x = 9,378,566,649/65,714
  6. Step 6: Final answer
    x = 142,717.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.