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Finding the Third Proportional to 67,004 and 103,700

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Solution

The third proportional to 67,004 and 103,700 is: 160,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,004 : 103,700 = 103,700 : x
  2. Step 2: Convert to fraction form
    67,004/103,700 = 103,700/x
  3. Step 3: Cross multiply
    67,004x = 103,700 × 103,700
  4. Step 4: Simplify right side
    67,004x = 10,753,690,000
  5. Step 5: Solve for x
    x = 10,753,690,000/67,004
  6. Step 6: Final answer
    x = 160,493.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.