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Finding the Third Proportional to 85,704.75 and 181,777.50

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Solution

The third proportional to 85,704.75 and 181,777.50 is: 385,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,704.75 : 181,777.50 = 181,777.50 : x
  2. Step 2: Convert to fraction form
    85,704.75/181,777.50 = 181,777.50/x
  3. Step 3: Cross multiply
    85,704.75x = 181,777.50 × 181,777.50
  4. Step 4: Simplify right side
    85,704.75x = 33,043,059,506.25
  5. Step 5: Solve for x
    x = 33,043,059,506.25/85,704.75
  6. Step 6: Final answer
    x = 385,545.25

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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.