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Finding the Third Proportional to 83,551.50 and 92,137.50

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Solution

The third proportional to 83,551.50 and 92,137.50 is: 101,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,551.50 : 92,137.50 = 92,137.50 : x
  2. Step 2: Convert to fraction form
    83,551.50/92,137.50 = 92,137.50/x
  3. Step 3: Cross multiply
    83,551.50x = 92,137.50 × 92,137.50
  4. Step 4: Simplify right side
    83,551.50x = 8,489,318,906.25
  5. Step 5: Solve for x
    x = 8,489,318,906.25/83,551.50
  6. Step 6: Final answer
    x = 101,605.82

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.