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Finding the Third Proportional to 31,610.25 and 68,121

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Solution

The third proportional to 31,610.25 and 68,121 is: 146,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610.25 : 68,121 = 68,121 : x
  2. Step 2: Convert to fraction form
    31,610.25/68,121 = 68,121/x
  3. Step 3: Cross multiply
    31,610.25x = 68,121 × 68,121
  4. Step 4: Simplify right side
    31,610.25x = 4,640,470,641
  5. Step 5: Solve for x
    x = 4,640,470,641/31,610.25
  6. Step 6: Final answer
    x = 146,802.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.