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Finding the Third Proportional to 65,842 and 99,336

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Solution

The third proportional to 65,842 and 99,336 is: 149,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842 : 99,336 = 99,336 : x
  2. Step 2: Convert to fraction form
    65,842/99,336 = 99,336/x
  3. Step 3: Cross multiply
    65,842x = 99,336 × 99,336
  4. Step 4: Simplify right side
    65,842x = 9,867,640,896
  5. Step 5: Solve for x
    x = 9,867,640,896/65,842
  6. Step 6: Final answer
    x = 149,868.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.