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Finding the Third Proportional to 157,477 and 162,013

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Solution

The third proportional to 157,477 and 162,013 is: 166,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,477 : 162,013 = 162,013 : x
  2. Step 2: Convert to fraction form
    157,477/162,013 = 162,013/x
  3. Step 3: Cross multiply
    157,477x = 162,013 × 162,013
  4. Step 4: Simplify right side
    157,477x = 26,248,212,169
  5. Step 5: Solve for x
    x = 26,248,212,169/157,477
  6. Step 6: Final answer
    x = 166,679.66

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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.