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Finding the Third Proportional to 82,111 and 177,718

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Solution

The third proportional to 82,111 and 177,718 is: 384,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111 : 177,718 = 177,718 : x
  2. Step 2: Convert to fraction form
    82,111/177,718 = 177,718/x
  3. Step 3: Cross multiply
    82,111x = 177,718 × 177,718
  4. Step 4: Simplify right side
    82,111x = 31,583,687,524
  5. Step 5: Solve for x
    x = 31,583,687,524/82,111
  6. Step 6: Final answer
    x = 384,646.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.