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Finding the Third Proportional to 85,528.41 and 123,200.93

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Solution

The third proportional to 85,528.41 and 123,200.93 is: 177,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,528.41 : 123,200.93 = 123,200.93 : x
  2. Step 2: Convert to fraction form
    85,528.41/123,200.93 = 123,200.93/x
  3. Step 3: Cross multiply
    85,528.41x = 123,200.93 × 123,200.93
  4. Step 4: Simplify right side
    85,528.41x = 15,178,469,075.86
  5. Step 5: Solve for x
    x = 15,178,469,075.86/85,528.41
  6. Step 6: Final answer
    x = 177,466.99

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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.