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Finding the Third Proportional to 67,956.75 and 144,135

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Solution

The third proportional to 67,956.75 and 144,135 is: 305,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,956.75 : 144,135 = 144,135 : x
  2. Step 2: Convert to fraction form
    67,956.75/144,135 = 144,135/x
  3. Step 3: Cross multiply
    67,956.75x = 144,135 × 144,135
  4. Step 4: Simplify right side
    67,956.75x = 20,774,898,225
  5. Step 5: Solve for x
    x = 20,774,898,225/67,956.75
  6. Step 6: Final answer
    x = 305,707.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.