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Finding the Third Proportional to 67,872.94 and 100,652.63

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Solution

The third proportional to 67,872.94 and 100,652.63 is: 149,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,872.94 : 100,652.63 = 100,652.63 : x
  2. Step 2: Convert to fraction form
    67,872.94/100,652.63 = 100,652.63/x
  3. Step 3: Cross multiply
    67,872.94x = 100,652.63 × 100,652.63
  4. Step 4: Simplify right side
    67,872.94x = 10,130,950,919.39
  5. Step 5: Solve for x
    x = 10,130,950,919.39/67,872.94
  6. Step 6: Final answer
    x = 149,263.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.