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Finding the Third Proportional to 137,652 and 203,917.50

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Solution

The third proportional to 137,652 and 203,917.50 is: 302,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,652 : 203,917.50 = 203,917.50 : x
  2. Step 2: Convert to fraction form
    137,652/203,917.50 = 203,917.50/x
  3. Step 3: Cross multiply
    137,652x = 203,917.50 × 203,917.50
  4. Step 4: Simplify right side
    137,652x = 41,582,346,806.25
  5. Step 5: Solve for x
    x = 41,582,346,806.25/137,652
  6. Step 6: Final answer
    x = 302,083.13

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