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Finding the Third Proportional to 85,064 and 183,732

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Solution

The third proportional to 85,064 and 183,732 is: 396,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,064 : 183,732 = 183,732 : x
  2. Step 2: Convert to fraction form
    85,064/183,732 = 183,732/x
  3. Step 3: Cross multiply
    85,064x = 183,732 × 183,732
  4. Step 4: Simplify right side
    85,064x = 33,757,447,824
  5. Step 5: Solve for x
    x = 33,757,447,824/85,064
  6. Step 6: Final answer
    x = 396,847.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.