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Finding the Third Proportional to 69,074 and 81,831.50

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Solution

The third proportional to 69,074 and 81,831.50 is: 96,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,074 : 81,831.50 = 81,831.50 : x
  2. Step 2: Convert to fraction form
    69,074/81,831.50 = 81,831.50/x
  3. Step 3: Cross multiply
    69,074x = 81,831.50 × 81,831.50
  4. Step 4: Simplify right side
    69,074x = 6,696,394,392.25
  5. Step 5: Solve for x
    x = 6,696,394,392.25/69,074
  6. Step 6: Final answer
    x = 96,945.22

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.