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Finding the Third Proportional to 82,944 and 177,726

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Solution

The third proportional to 82,944 and 177,726 is: 380,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,944 : 177,726 = 177,726 : x
  2. Step 2: Convert to fraction form
    82,944/177,726 = 177,726/x
  3. Step 3: Cross multiply
    82,944x = 177,726 × 177,726
  4. Step 4: Simplify right side
    82,944x = 31,586,531,076
  5. Step 5: Solve for x
    x = 31,586,531,076/82,944
  6. Step 6: Final answer
    x = 380,817.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.