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Finding the Third Proportional to 84,560 and 176,116

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Solution

The third proportional to 84,560 and 176,116 is: 366,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,560 : 176,116 = 176,116 : x
  2. Step 2: Convert to fraction form
    84,560/176,116 = 176,116/x
  3. Step 3: Cross multiply
    84,560x = 176,116 × 176,116
  4. Step 4: Simplify right side
    84,560x = 31,016,845,456
  5. Step 5: Solve for x
    x = 31,016,845,456/84,560
  6. Step 6: Final answer
    x = 366,802.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.