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Finding the Third Proportional to 60,625.50 and 131,743

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Solution

The third proportional to 60,625.50 and 131,743 is: 286,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,625.50 : 131,743 = 131,743 : x
  2. Step 2: Convert to fraction form
    60,625.50/131,743 = 131,743/x
  3. Step 3: Cross multiply
    60,625.50x = 131,743 × 131,743
  4. Step 4: Simplify right side
    60,625.50x = 17,356,218,049
  5. Step 5: Solve for x
    x = 17,356,218,049/60,625.50
  6. Step 6: Final answer
    x = 286,285.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.