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Finding the Third Proportional to 101,558 and 157,172

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Solution

The third proportional to 101,558 and 157,172 is: 243,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,558 : 157,172 = 157,172 : x
  2. Step 2: Convert to fraction form
    101,558/157,172 = 157,172/x
  3. Step 3: Cross multiply
    101,558x = 157,172 × 157,172
  4. Step 4: Simplify right side
    101,558x = 24,703,037,584
  5. Step 5: Solve for x
    x = 24,703,037,584/101,558
  6. Step 6: Final answer
    x = 243,240.69

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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.