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Finding the Third Proportional to 137,656 and 203,924

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Solution

The third proportional to 137,656 and 203,924 is: 302,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,656 : 203,924 = 203,924 : x
  2. Step 2: Convert to fraction form
    137,656/203,924 = 203,924/x
  3. Step 3: Cross multiply
    137,656x = 203,924 × 203,924
  4. Step 4: Simplify right side
    137,656x = 41,584,997,776
  5. Step 5: Solve for x
    x = 41,584,997,776/137,656
  6. Step 6: Final answer
    x = 302,093.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.