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Finding the Third Proportional to 39,652 and 88,052

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Solution

The third proportional to 39,652 and 88,052 is: 195,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,652 : 88,052 = 88,052 : x
  2. Step 2: Convert to fraction form
    39,652/88,052 = 88,052/x
  3. Step 3: Cross multiply
    39,652x = 88,052 × 88,052
  4. Step 4: Simplify right side
    39,652x = 7,753,154,704
  5. Step 5: Solve for x
    x = 7,753,154,704/39,652
  6. Step 6: Final answer
    x = 195,529.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.