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Finding the Third Proportional to 69,050.81 and 103,831.88

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Solution

The third proportional to 69,050.81 and 103,831.88 is: 156,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,050.81 : 103,831.88 = 103,831.88 : x
  2. Step 2: Convert to fraction form
    69,050.81/103,831.88 = 103,831.88/x
  3. Step 3: Cross multiply
    69,050.81x = 103,831.88 × 103,831.88
  4. Step 4: Simplify right side
    69,050.81x = 10,781,058,266.02
  5. Step 5: Solve for x
    x = 10,781,058,266.02/69,050.81
  6. Step 6: Final answer
    x = 156,132.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.