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Finding the Third Proportional to 67,327.50 and 99,690

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Solution

The third proportional to 67,327.50 and 99,690 is: 147,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,327.50 : 99,690 = 99,690 : x
  2. Step 2: Convert to fraction form
    67,327.50/99,690 = 99,690/x
  3. Step 3: Cross multiply
    67,327.50x = 99,690 × 99,690
  4. Step 4: Simplify right side
    67,327.50x = 9,938,096,100
  5. Step 5: Solve for x
    x = 9,938,096,100/67,327.50
  6. Step 6: Final answer
    x = 147,608.27

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.