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Finding the Third Proportional to 127,652 and 178,881.25

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Solution

The third proportional to 127,652 and 178,881.25 is: 250,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,652 : 178,881.25 = 178,881.25 : x
  2. Step 2: Convert to fraction form
    127,652/178,881.25 = 178,881.25/x
  3. Step 3: Cross multiply
    127,652x = 178,881.25 × 178,881.25
  4. Step 4: Simplify right side
    127,652x = 31,998,501,601.56
  5. Step 5: Solve for x
    x = 31,998,501,601.56/127,652
  6. Step 6: Final answer
    x = 250,669.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.