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Finding the Third Proportional to 89,525.25 and 187,677

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Solution

The third proportional to 89,525.25 and 187,677 is: 393,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,525.25 : 187,677 = 187,677 : x
  2. Step 2: Convert to fraction form
    89,525.25/187,677 = 187,677/x
  3. Step 3: Cross multiply
    89,525.25x = 187,677 × 187,677
  4. Step 4: Simplify right side
    89,525.25x = 35,222,656,329
  5. Step 5: Solve for x
    x = 35,222,656,329/89,525.25
  6. Step 6: Final answer
    x = 393,438.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.