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Finding the Third Proportional to 80,423.51 and 174,086.48

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Solution

The third proportional to 80,423.51 and 174,086.48 is: 376,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,423.51 : 174,086.48 = 174,086.48 : x
  2. Step 2: Convert to fraction form
    80,423.51/174,086.48 = 174,086.48/x
  3. Step 3: Cross multiply
    80,423.51x = 174,086.48 × 174,086.48
  4. Step 4: Simplify right side
    80,423.51x = 30,306,103,022.01
  5. Step 5: Solve for x
    x = 30,306,103,022.01/80,423.51
  6. Step 6: Final answer
    x = 376,831.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.