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Finding the Third Proportional to 157,474 and 162,010

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Solution

The third proportional to 157,474 and 162,010 is: 166,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,474 : 162,010 = 162,010 : x
  2. Step 2: Convert to fraction form
    157,474/162,010 = 162,010/x
  3. Step 3: Cross multiply
    157,474x = 162,010 × 162,010
  4. Step 4: Simplify right side
    157,474x = 26,247,240,100
  5. Step 5: Solve for x
    x = 26,247,240,100/157,474
  6. Step 6: Final answer
    x = 166,676.66

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.