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Finding the Third Proportional to 67,459.50 and 99,002

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Solution

The third proportional to 67,459.50 and 99,002 is: 145,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,459.50 : 99,002 = 99,002 : x
  2. Step 2: Convert to fraction form
    67,459.50/99,002 = 99,002/x
  3. Step 3: Cross multiply
    67,459.50x = 99,002 × 99,002
  4. Step 4: Simplify right side
    67,459.50x = 9,801,396,004
  5. Step 5: Solve for x
    x = 9,801,396,004/67,459.50
  6. Step 6: Final answer
    x = 145,293.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.