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Finding the Third Proportional to 51,073.50 and 92,062.50

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Solution

The third proportional to 51,073.50 and 92,062.50 is: 165,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,073.50 : 92,062.50 = 92,062.50 : x
  2. Step 2: Convert to fraction form
    51,073.50/92,062.50 = 92,062.50/x
  3. Step 3: Cross multiply
    51,073.50x = 92,062.50 × 92,062.50
  4. Step 4: Simplify right side
    51,073.50x = 8,475,503,906.25
  5. Step 5: Solve for x
    x = 8,475,503,906.25/51,073.50
  6. Step 6: Final answer
    x = 165,947.19

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.