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Finding the Third Proportional to 40,372 and 88,520

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Solution

The third proportional to 40,372 and 88,520 is: 194,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,372 : 88,520 = 88,520 : x
  2. Step 2: Convert to fraction form
    40,372/88,520 = 88,520/x
  3. Step 3: Cross multiply
    40,372x = 88,520 × 88,520
  4. Step 4: Simplify right side
    40,372x = 7,835,790,400
  5. Step 5: Solve for x
    x = 7,835,790,400/40,372
  6. Step 6: Final answer
    x = 194,089.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.