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Finding the Third Proportional to 67,113.56 and 144,512.86

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Solution

The third proportional to 67,113.56 and 144,512.86 is: 311,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,113.56 : 144,512.86 = 144,512.86 : x
  2. Step 2: Convert to fraction form
    67,113.56/144,512.86 = 144,512.86/x
  3. Step 3: Cross multiply
    67,113.56x = 144,512.86 × 144,512.86
  4. Step 4: Simplify right side
    67,113.56x = 20,883,966,524.74
  5. Step 5: Solve for x
    x = 20,883,966,524.74/67,113.56
  6. Step 6: Final answer
    x = 311,173.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.