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Finding the Third Proportional to 45,593 and 71,157

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Solution

The third proportional to 45,593 and 71,157 is: 111,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,593 : 71,157 = 71,157 : x
  2. Step 2: Convert to fraction form
    45,593/71,157 = 71,157/x
  3. Step 3: Cross multiply
    45,593x = 71,157 × 71,157
  4. Step 4: Simplify right side
    45,593x = 5,063,318,649
  5. Step 5: Solve for x
    x = 5,063,318,649/45,593
  6. Step 6: Final answer
    x = 111,054.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.