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Finding the Third Proportional to 85,596.75 and 123,295.92

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Solution

The third proportional to 85,596.75 and 123,295.92 is: 177,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,596.75 : 123,295.92 = 123,295.92 : x
  2. Step 2: Convert to fraction form
    85,596.75/123,295.92 = 123,295.92/x
  3. Step 3: Cross multiply
    85,596.75x = 123,295.92 × 123,295.92
  4. Step 4: Simplify right side
    85,596.75x = 15,201,884,351.01
  5. Step 5: Solve for x
    x = 15,201,884,351.01/85,596.75
  6. Step 6: Final answer
    x = 177,598.85

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.