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Finding the Third Proportional to 82,177 and 174,944

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Solution

The third proportional to 82,177 and 174,944 is: 372,432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,177 : 174,944 = 174,944 : x
  2. Step 2: Convert to fraction form
    82,177/174,944 = 174,944/x
  3. Step 3: Cross multiply
    82,177x = 174,944 × 174,944
  4. Step 4: Simplify right side
    82,177x = 30,605,403,136
  5. Step 5: Solve for x
    x = 30,605,403,136/82,177
  6. Step 6: Final answer
    x = 372,432.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.