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Finding the Third Proportional to 31,487 and 68,752

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Solution

The third proportional to 31,487 and 68,752 is: 150,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,487 : 68,752 = 68,752 : x
  2. Step 2: Convert to fraction form
    31,487/68,752 = 68,752/x
  3. Step 3: Cross multiply
    31,487x = 68,752 × 68,752
  4. Step 4: Simplify right side
    31,487x = 4,726,837,504
  5. Step 5: Solve for x
    x = 4,726,837,504/31,487
  6. Step 6: Final answer
    x = 150,120.29

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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.