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Finding the Third Proportional to 137,619 and 203,877

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Solution

The third proportional to 137,619 and 203,877 is: 302,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,619 : 203,877 = 203,877 : x
  2. Step 2: Convert to fraction form
    137,619/203,877 = 203,877/x
  3. Step 3: Cross multiply
    137,619x = 203,877 × 203,877
  4. Step 4: Simplify right side
    137,619x = 41,565,831,129
  5. Step 5: Solve for x
    x = 41,565,831,129/137,619
  6. Step 6: Final answer
    x = 302,035.56

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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.