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Finding the Third Proportional to 85,999.50 and 182,448

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Solution

The third proportional to 85,999.50 and 182,448 is: 387,063.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,999.50 : 182,448 = 182,448 : x
  2. Step 2: Convert to fraction form
    85,999.50/182,448 = 182,448/x
  3. Step 3: Cross multiply
    85,999.50x = 182,448 × 182,448
  4. Step 4: Simplify right side
    85,999.50x = 33,287,272,704
  5. Step 5: Solve for x
    x = 33,287,272,704/85,999.50
  6. Step 6: Final answer
    x = 387,063.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.