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Finding the Third Proportional to 31,232 and 67,756

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Solution

The third proportional to 31,232 and 67,756 is: 146,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232 : 67,756 = 67,756 : x
  2. Step 2: Convert to fraction form
    31,232/67,756 = 67,756/x
  3. Step 3: Cross multiply
    31,232x = 67,756 × 67,756
  4. Step 4: Simplify right side
    31,232x = 4,590,875,536
  5. Step 5: Solve for x
    x = 4,590,875,536/31,232
  6. Step 6: Final answer
    x = 146,992.68

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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.