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Finding the Third Proportional to 157,471 and 162,007

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Solution

The third proportional to 157,471 and 162,007 is: 166,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,471 : 162,007 = 162,007 : x
  2. Step 2: Convert to fraction form
    157,471/162,007 = 162,007/x
  3. Step 3: Cross multiply
    157,471x = 162,007 × 162,007
  4. Step 4: Simplify right side
    157,471x = 26,246,268,049
  5. Step 5: Solve for x
    x = 26,246,268,049/157,471
  6. Step 6: Final answer
    x = 166,673.66

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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.