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Finding the Third Proportional to 81,885.38 and 173,612.81

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Solution

The third proportional to 81,885.38 and 173,612.81 is: 368,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,885.38 : 173,612.81 = 173,612.81 : x
  2. Step 2: Convert to fraction form
    81,885.38/173,612.81 = 173,612.81/x
  3. Step 3: Cross multiply
    81,885.38x = 173,612.81 × 173,612.81
  4. Step 4: Simplify right side
    81,885.38x = 30,141,408,664.16
  5. Step 5: Solve for x
    x = 30,141,408,664.16/81,885.38
  6. Step 6: Final answer
    x = 368,092.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.