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Finding the Third Proportional to 67,459.50 and 100,642.50

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Solution

The third proportional to 67,459.50 and 100,642.50 is: 150,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,459.50 : 100,642.50 = 100,642.50 : x
  2. Step 2: Convert to fraction form
    67,459.50/100,642.50 = 100,642.50/x
  3. Step 3: Cross multiply
    67,459.50x = 100,642.50 × 100,642.50
  4. Step 4: Simplify right side
    67,459.50x = 10,128,912,806.25
  5. Step 5: Solve for x
    x = 10,128,912,806.25/67,459.50
  6. Step 6: Final answer
    x = 150,148.06

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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.