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Finding the Third Proportional to 97,134 and 208,092

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Solution

The third proportional to 97,134 and 208,092 is: 445,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,134 : 208,092 = 208,092 : x
  2. Step 2: Convert to fraction form
    97,134/208,092 = 208,092/x
  3. Step 3: Cross multiply
    97,134x = 208,092 × 208,092
  4. Step 4: Simplify right side
    97,134x = 43,302,280,464
  5. Step 5: Solve for x
    x = 43,302,280,464/97,134
  6. Step 6: Final answer
    x = 445,799.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.