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Finding the Third Proportional to 31,770 and 68,148

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Solution

The third proportional to 31,770 and 68,148 is: 146,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770 : 68,148 = 68,148 : x
  2. Step 2: Convert to fraction form
    31,770/68,148 = 68,148/x
  3. Step 3: Cross multiply
    31,770x = 68,148 × 68,148
  4. Step 4: Simplify right side
    31,770x = 4,644,149,904
  5. Step 5: Solve for x
    x = 4,644,149,904/31,770
  6. Step 6: Final answer
    x = 146,180.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.