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Finding the Third Proportional to 65,869 and 97,336

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Solution

The third proportional to 65,869 and 97,336 is: 143,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,869 : 97,336 = 97,336 : x
  2. Step 2: Convert to fraction form
    65,869/97,336 = 97,336/x
  3. Step 3: Cross multiply
    65,869x = 97,336 × 97,336
  4. Step 4: Simplify right side
    65,869x = 9,474,296,896
  5. Step 5: Solve for x
    x = 9,474,296,896/65,869
  6. Step 6: Final answer
    x = 143,835.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.