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Finding the Third Proportional to 60,270 and 131,255

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Solution

The third proportional to 60,270 and 131,255 is: 285,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,270 : 131,255 = 131,255 : x
  2. Step 2: Convert to fraction form
    60,270/131,255 = 131,255/x
  3. Step 3: Cross multiply
    60,270x = 131,255 × 131,255
  4. Step 4: Simplify right side
    60,270x = 17,227,875,025
  5. Step 5: Solve for x
    x = 17,227,875,025/60,270
  6. Step 6: Final answer
    x = 285,844.95

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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.