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Finding the Third Proportional to 55,208 and 86,092

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Solution

The third proportional to 55,208 and 86,092 is: 134,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,208 : 86,092 = 86,092 : x
  2. Step 2: Convert to fraction form
    55,208/86,092 = 86,092/x
  3. Step 3: Cross multiply
    55,208x = 86,092 × 86,092
  4. Step 4: Simplify right side
    55,208x = 7,411,832,464
  5. Step 5: Solve for x
    x = 7,411,832,464/55,208
  6. Step 6: Final answer
    x = 134,252.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.