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Finding the Third Proportional to 67,749 and 100,640.25

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Solution

The third proportional to 67,749 and 100,640.25 is: 149,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,749 : 100,640.25 = 100,640.25 : x
  2. Step 2: Convert to fraction form
    67,749/100,640.25 = 100,640.25/x
  3. Step 3: Cross multiply
    67,749x = 100,640.25 × 100,640.25
  4. Step 4: Simplify right side
    67,749x = 10,128,459,920.06
  5. Step 5: Solve for x
    x = 10,128,459,920.06/67,749
  6. Step 6: Final answer
    x = 149,499.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.