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Finding the Third Proportional to 65,716 and 96,846

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Solution

The third proportional to 65,716 and 96,846 is: 142,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,716 : 96,846 = 96,846 : x
  2. Step 2: Convert to fraction form
    65,716/96,846 = 96,846/x
  3. Step 3: Cross multiply
    65,716x = 96,846 × 96,846
  4. Step 4: Simplify right side
    65,716x = 9,379,147,716
  5. Step 5: Solve for x
    x = 9,379,147,716/65,716
  6. Step 6: Final answer
    x = 142,722.44

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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.