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Finding the Third Proportional to 35,831.25 and 78,131.25

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Solution

The third proportional to 35,831.25 and 78,131.25 is: 170,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,831.25 : 78,131.25 = 78,131.25 : x
  2. Step 2: Convert to fraction form
    35,831.25/78,131.25 = 78,131.25/x
  3. Step 3: Cross multiply
    35,831.25x = 78,131.25 × 78,131.25
  4. Step 4: Simplify right side
    35,831.25x = 6,104,492,226.56
  5. Step 5: Solve for x
    x = 6,104,492,226.56/35,831.25
  6. Step 6: Final answer
    x = 170,367.83

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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.