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Finding the Third Proportional to 57,631.50 and 85,611

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Solution

The third proportional to 57,631.50 and 85,611 is: 127,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,631.50 : 85,611 = 85,611 : x
  2. Step 2: Convert to fraction form
    57,631.50/85,611 = 85,611/x
  3. Step 3: Cross multiply
    57,631.50x = 85,611 × 85,611
  4. Step 4: Simplify right side
    57,631.50x = 7,329,243,321
  5. Step 5: Solve for x
    x = 7,329,243,321/57,631.50
  6. Step 6: Final answer
    x = 127,174.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.