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Finding the Third Proportional to 60,414.50 and 92,212.50

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Solution

The third proportional to 60,414.50 and 92,212.50 is: 140,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,414.50 : 92,212.50 = 92,212.50 : x
  2. Step 2: Convert to fraction form
    60,414.50/92,212.50 = 92,212.50/x
  3. Step 3: Cross multiply
    60,414.50x = 92,212.50 × 92,212.50
  4. Step 4: Simplify right side
    60,414.50x = 8,503,145,156.25
  5. Step 5: Solve for x
    x = 8,503,145,156.25/60,414.50
  6. Step 6: Final answer
    x = 140,746.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.