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Finding the Third Proportional to 124,960.50 and 182,781

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Solution

The third proportional to 124,960.50 and 182,781 is: 267,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,960.50 : 182,781 = 182,781 : x
  2. Step 2: Convert to fraction form
    124,960.50/182,781 = 182,781/x
  3. Step 3: Cross multiply
    124,960.50x = 182,781 × 182,781
  4. Step 4: Simplify right side
    124,960.50x = 33,408,893,961
  5. Step 5: Solve for x
    x = 33,408,893,961/124,960.50
  6. Step 6: Final answer
    x = 267,355.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.