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Finding the Third Proportional to 60,311 and 131,875

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Solution

The third proportional to 60,311 and 131,875 is: 288,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,311 : 131,875 = 131,875 : x
  2. Step 2: Convert to fraction form
    60,311/131,875 = 131,875/x
  3. Step 3: Cross multiply
    60,311x = 131,875 × 131,875
  4. Step 4: Simplify right side
    60,311x = 17,391,015,625
  5. Step 5: Solve for x
    x = 17,391,015,625/60,311
  6. Step 6: Final answer
    x = 288,355.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.