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Finding the Third Proportional to 67,052 and 139,615

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Solution

The third proportional to 67,052 and 139,615 is: 290,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,052 : 139,615 = 139,615 : x
  2. Step 2: Convert to fraction form
    67,052/139,615 = 139,615/x
  3. Step 3: Cross multiply
    67,052x = 139,615 × 139,615
  4. Step 4: Simplify right side
    67,052x = 19,492,348,225
  5. Step 5: Solve for x
    x = 19,492,348,225/67,052
  6. Step 6: Final answer
    x = 290,704.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.