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Finding the Third Proportional to 85,112 and 183,040

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Solution

The third proportional to 85,112 and 183,040 is: 393,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,112 : 183,040 = 183,040 : x
  2. Step 2: Convert to fraction form
    85,112/183,040 = 183,040/x
  3. Step 3: Cross multiply
    85,112x = 183,040 × 183,040
  4. Step 4: Simplify right side
    85,112x = 33,503,641,600
  5. Step 5: Solve for x
    x = 33,503,641,600/85,112
  6. Step 6: Final answer
    x = 393,641.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.