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Finding the Third Proportional to 157,476 and 162,012

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Solution

The third proportional to 157,476 and 162,012 is: 166,678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,476 : 162,012 = 162,012 : x
  2. Step 2: Convert to fraction form
    157,476/162,012 = 162,012/x
  3. Step 3: Cross multiply
    157,476x = 162,012 × 162,012
  4. Step 4: Simplify right side
    157,476x = 26,247,888,144
  5. Step 5: Solve for x
    x = 26,247,888,144/157,476
  6. Step 6: Final answer
    x = 166,678.66

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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.