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Finding the Third Proportional to 103,831.50 and 157,799.25

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Solution

The third proportional to 103,831.50 and 157,799.25 is: 239,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,831.50 : 157,799.25 = 157,799.25 : x
  2. Step 2: Convert to fraction form
    103,831.50/157,799.25 = 157,799.25/x
  3. Step 3: Cross multiply
    103,831.50x = 157,799.25 × 157,799.25
  4. Step 4: Simplify right side
    103,831.50x = 24,900,603,300.56
  5. Step 5: Solve for x
    x = 24,900,603,300.56/103,831.50
  6. Step 6: Final answer
    x = 239,817.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.