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Finding the Third Proportional to 80,831.63 and 176,139.75

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Solution

The third proportional to 80,831.63 and 176,139.75 is: 383,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,831.63 : 176,139.75 = 176,139.75 : x
  2. Step 2: Convert to fraction form
    80,831.63/176,139.75 = 176,139.75/x
  3. Step 3: Cross multiply
    80,831.63x = 176,139.75 × 176,139.75
  4. Step 4: Simplify right side
    80,831.63x = 31,025,211,530.06
  5. Step 5: Solve for x
    x = 31,025,211,530.06/80,831.63
  6. Step 6: Final answer
    x = 383,825.16

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Why These Related Problems?

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