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Finding the Third Proportional to 86,103 and 186,039

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Solution

The third proportional to 86,103 and 186,039 is: 401,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,103 : 186,039 = 186,039 : x
  2. Step 2: Convert to fraction form
    86,103/186,039 = 186,039/x
  3. Step 3: Cross multiply
    86,103x = 186,039 × 186,039
  4. Step 4: Simplify right side
    86,103x = 34,610,509,521
  5. Step 5: Solve for x
    x = 34,610,509,521/86,103
  6. Step 6: Final answer
    x = 401,966.36

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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.