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Finding the Third Proportional to 60,264 and 131,253

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Solution

The third proportional to 60,264 and 131,253 is: 285,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,264 : 131,253 = 131,253 : x
  2. Step 2: Convert to fraction form
    60,264/131,253 = 131,253/x
  3. Step 3: Cross multiply
    60,264x = 131,253 × 131,253
  4. Step 4: Simplify right side
    60,264x = 17,227,350,009
  5. Step 5: Solve for x
    x = 17,227,350,009/60,264
  6. Step 6: Final answer
    x = 285,864.70

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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.