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Finding the Third Proportional to 67,693.50 and 101,150.25

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Solution

The third proportional to 67,693.50 and 101,150.25 is: 151,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,693.50 : 101,150.25 = 101,150.25 : x
  2. Step 2: Convert to fraction form
    67,693.50/101,150.25 = 101,150.25/x
  3. Step 3: Cross multiply
    67,693.50x = 101,150.25 × 101,150.25
  4. Step 4: Simplify right side
    67,693.50x = 10,231,373,075.06
  5. Step 5: Solve for x
    x = 10,231,373,075.06/67,693.50
  6. Step 6: Final answer
    x = 151,142.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.