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Finding the Third Proportional to 31,593 and 70,191

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Solution

The third proportional to 31,593 and 70,191 is: 155,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,593 : 70,191 = 70,191 : x
  2. Step 2: Convert to fraction form
    31,593/70,191 = 70,191/x
  3. Step 3: Cross multiply
    31,593x = 70,191 × 70,191
  4. Step 4: Simplify right side
    31,593x = 4,926,776,481
  5. Step 5: Solve for x
    x = 4,926,776,481/31,593
  6. Step 6: Final answer
    x = 155,945.19

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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.