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Finding the Third Proportional to 60,382 and 131,138

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Solution

The third proportional to 60,382 and 131,138 is: 284,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,382 : 131,138 = 131,138 : x
  2. Step 2: Convert to fraction form
    60,382/131,138 = 131,138/x
  3. Step 3: Cross multiply
    60,382x = 131,138 × 131,138
  4. Step 4: Simplify right side
    60,382x = 17,197,175,044
  5. Step 5: Solve for x
    x = 17,197,175,044/60,382
  6. Step 6: Final answer
    x = 284,806.32

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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.