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Finding the Third Proportional to 84,989 and 186,754

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Solution

The third proportional to 84,989 and 186,754 is: 410,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,989 : 186,754 = 186,754 : x
  2. Step 2: Convert to fraction form
    84,989/186,754 = 186,754/x
  3. Step 3: Cross multiply
    84,989x = 186,754 × 186,754
  4. Step 4: Simplify right side
    84,989x = 34,877,056,516
  5. Step 5: Solve for x
    x = 34,877,056,516/84,989
  6. Step 6: Final answer
    x = 410,371.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.