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Finding the Third Proportional to 157,470 and 162,006

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Solution

The third proportional to 157,470 and 162,006 is: 166,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,470 : 162,006 = 162,006 : x
  2. Step 2: Convert to fraction form
    157,470/162,006 = 162,006/x
  3. Step 3: Cross multiply
    157,470x = 162,006 × 162,006
  4. Step 4: Simplify right side
    157,470x = 26,245,944,036
  5. Step 5: Solve for x
    x = 26,245,944,036/157,470
  6. Step 6: Final answer
    x = 166,672.66

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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.