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Finding the Third Proportional to 61,407 and 133,182

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Solution

The third proportional to 61,407 and 133,182 is: 288,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,407 : 133,182 = 133,182 : x
  2. Step 2: Convert to fraction form
    61,407/133,182 = 133,182/x
  3. Step 3: Cross multiply
    61,407x = 133,182 × 133,182
  4. Step 4: Simplify right side
    61,407x = 17,737,445,124
  5. Step 5: Solve for x
    x = 17,737,445,124/61,407
  6. Step 6: Final answer
    x = 288,850.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.