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Finding the Third Proportional to 31,902 and 68,906

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Solution

The third proportional to 31,902 and 68,906 is: 148,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902 : 68,906 = 68,906 : x
  2. Step 2: Convert to fraction form
    31,902/68,906 = 68,906/x
  3. Step 3: Cross multiply
    31,902x = 68,906 × 68,906
  4. Step 4: Simplify right side
    31,902x = 4,748,036,836
  5. Step 5: Solve for x
    x = 4,748,036,836/31,902
  6. Step 6: Final answer
    x = 148,831.95

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