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Finding the Third Proportional to 119,188 and 261,134

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Solution

The third proportional to 119,188 and 261,134 is: 572,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,188 : 261,134 = 261,134 : x
  2. Step 2: Convert to fraction form
    119,188/261,134 = 261,134/x
  3. Step 3: Cross multiply
    119,188x = 261,134 × 261,134
  4. Step 4: Simplify right side
    119,188x = 68,190,965,956
  5. Step 5: Solve for x
    x = 68,190,965,956/119,188
  6. Step 6: Final answer
    x = 572,129.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.