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Finding the Third Proportional to 45,002 and 67,130

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Solution

The third proportional to 45,002 and 67,130 is: 100,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,002 : 67,130 = 67,130 : x
  2. Step 2: Convert to fraction form
    45,002/67,130 = 67,130/x
  3. Step 3: Cross multiply
    45,002x = 67,130 × 67,130
  4. Step 4: Simplify right side
    45,002x = 4,506,436,900
  5. Step 5: Solve for x
    x = 4,506,436,900/45,002
  6. Step 6: Final answer
    x = 100,138.59

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Why These Related Problems?

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