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Finding the Third Proportional to 45,402.75 and 68,269.50

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Solution

The third proportional to 45,402.75 and 68,269.50 is: 102,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402.75 : 68,269.50 = 68,269.50 : x
  2. Step 2: Convert to fraction form
    45,402.75/68,269.50 = 68,269.50/x
  3. Step 3: Cross multiply
    45,402.75x = 68,269.50 × 68,269.50
  4. Step 4: Simplify right side
    45,402.75x = 4,660,724,630.25
  5. Step 5: Solve for x
    x = 4,660,724,630.25/45,402.75
  6. Step 6: Final answer
    x = 102,652.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.