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Finding the Third Proportional to 88,139 and 186,325

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Solution

The third proportional to 88,139 and 186,325 is: 393,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,139 : 186,325 = 186,325 : x
  2. Step 2: Convert to fraction form
    88,139/186,325 = 186,325/x
  3. Step 3: Cross multiply
    88,139x = 186,325 × 186,325
  4. Step 4: Simplify right side
    88,139x = 34,717,005,625
  5. Step 5: Solve for x
    x = 34,717,005,625/88,139
  6. Step 6: Final answer
    x = 393,889.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.