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Finding the Third Proportional to 60,225.75 and 131,184.75

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Solution

The third proportional to 60,225.75 and 131,184.75 is: 285,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,225.75 : 131,184.75 = 131,184.75 : x
  2. Step 2: Convert to fraction form
    60,225.75/131,184.75 = 131,184.75/x
  3. Step 3: Cross multiply
    60,225.75x = 131,184.75 × 131,184.75
  4. Step 4: Simplify right side
    60,225.75x = 17,209,438,632.56
  5. Step 5: Solve for x
    x = 17,209,438,632.56/60,225.75
  6. Step 6: Final answer
    x = 285,748.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.