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Finding the Third Proportional to 31,595 and 73,142

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Solution

The third proportional to 31,595 and 73,142 is: 169,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595 : 73,142 = 73,142 : x
  2. Step 2: Convert to fraction form
    31,595/73,142 = 73,142/x
  3. Step 3: Cross multiply
    31,595x = 73,142 × 73,142
  4. Step 4: Simplify right side
    31,595x = 5,349,752,164
  5. Step 5: Solve for x
    x = 5,349,752,164/31,595
  6. Step 6: Final answer
    x = 169,322.75

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.