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Finding the Third Proportional to 72,831.66 and 158,902.59

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Solution

The third proportional to 72,831.66 and 158,902.59 is: 346,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,831.66 : 158,902.59 = 158,902.59 : x
  2. Step 2: Convert to fraction form
    72,831.66/158,902.59 = 158,902.59/x
  3. Step 3: Cross multiply
    72,831.66x = 158,902.59 × 158,902.59
  4. Step 4: Simplify right side
    72,831.66x = 25,250,034,300.48
  5. Step 5: Solve for x
    x = 25,250,034,300.48/72,831.66
  6. Step 6: Final answer
    x = 346,690.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.