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Finding the Third Proportional to 35,092 and 75,187

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Solution

The third proportional to 35,092 and 75,187 is: 161,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,092 : 75,187 = 75,187 : x
  2. Step 2: Convert to fraction form
    35,092/75,187 = 75,187/x
  3. Step 3: Cross multiply
    35,092x = 75,187 × 75,187
  4. Step 4: Simplify right side
    35,092x = 5,653,084,969
  5. Step 5: Solve for x
    x = 5,653,084,969/35,092
  6. Step 6: Final answer
    x = 161,093.27

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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.