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Finding the Third Proportional to 31,068 and 67,752

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Solution

The third proportional to 31,068 and 67,752 is: 147,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,068 : 67,752 = 67,752 : x
  2. Step 2: Convert to fraction form
    31,068/67,752 = 67,752/x
  3. Step 3: Cross multiply
    31,068x = 67,752 × 67,752
  4. Step 4: Simplify right side
    31,068x = 4,590,333,504
  5. Step 5: Solve for x
    x = 4,590,333,504/31,068
  6. Step 6: Final answer
    x = 147,751.17

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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.