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Finding the Third Proportional to 101,330 and 156,916

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Solution

The third proportional to 101,330 and 156,916 is: 242,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,330 : 156,916 = 156,916 : x
  2. Step 2: Convert to fraction form
    101,330/156,916 = 156,916/x
  3. Step 3: Cross multiply
    101,330x = 156,916 × 156,916
  4. Step 4: Simplify right side
    101,330x = 24,622,631,056
  5. Step 5: Solve for x
    x = 24,622,631,056/101,330
  6. Step 6: Final answer
    x = 242,994.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.