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Finding the Third Proportional to 60,258 and 131,235

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Solution

The third proportional to 60,258 and 131,235 is: 285,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,258 : 131,235 = 131,235 : x
  2. Step 2: Convert to fraction form
    60,258/131,235 = 131,235/x
  3. Step 3: Cross multiply
    60,258x = 131,235 × 131,235
  4. Step 4: Simplify right side
    60,258x = 17,222,625,225
  5. Step 5: Solve for x
    x = 17,222,625,225/60,258
  6. Step 6: Final answer
    x = 285,814.75

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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.