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Finding the Third Proportional to 112,842 and 171,485

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Solution

The third proportional to 112,842 and 171,485 is: 260,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,842 : 171,485 = 171,485 : x
  2. Step 2: Convert to fraction form
    112,842/171,485 = 171,485/x
  3. Step 3: Cross multiply
    112,842x = 171,485 × 171,485
  4. Step 4: Simplify right side
    112,842x = 29,407,105,225
  5. Step 5: Solve for x
    x = 29,407,105,225/112,842
  6. Step 6: Final answer
    x = 260,604.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.