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Finding the Third Proportional to 81,166 and 177,095

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Solution

The third proportional to 81,166 and 177,095 is: 386,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,166 : 177,095 = 177,095 : x
  2. Step 2: Convert to fraction form
    81,166/177,095 = 177,095/x
  3. Step 3: Cross multiply
    81,166x = 177,095 × 177,095
  4. Step 4: Simplify right side
    81,166x = 31,362,639,025
  5. Step 5: Solve for x
    x = 31,362,639,025/81,166
  6. Step 6: Final answer
    x = 386,401.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.