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Finding the Third Proportional to 65,868 and 96,318

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Solution

The third proportional to 65,868 and 96,318 is: 140,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,868 : 96,318 = 96,318 : x
  2. Step 2: Convert to fraction form
    65,868/96,318 = 96,318/x
  3. Step 3: Cross multiply
    65,868x = 96,318 × 96,318
  4. Step 4: Simplify right side
    65,868x = 9,277,157,124
  5. Step 5: Solve for x
    x = 9,277,157,124/65,868
  6. Step 6: Final answer
    x = 140,844.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.