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Finding the Third Proportional to 48,831.75 and 100,255.50

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Solution

The third proportional to 48,831.75 and 100,255.50 is: 205,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,831.75 : 100,255.50 = 100,255.50 : x
  2. Step 2: Convert to fraction form
    48,831.75/100,255.50 = 100,255.50/x
  3. Step 3: Cross multiply
    48,831.75x = 100,255.50 × 100,255.50
  4. Step 4: Simplify right side
    48,831.75x = 10,051,165,280.25
  5. Step 5: Solve for x
    x = 10,051,165,280.25/48,831.75
  6. Step 6: Final answer
    x = 205,832.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.