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Finding the Third Proportional to 112,556 and 171,693

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Solution

The third proportional to 112,556 and 171,693 is: 261,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,556 : 171,693 = 171,693 : x
  2. Step 2: Convert to fraction form
    112,556/171,693 = 171,693/x
  3. Step 3: Cross multiply
    112,556x = 171,693 × 171,693
  4. Step 4: Simplify right side
    112,556x = 29,478,486,249
  5. Step 5: Solve for x
    x = 29,478,486,249/112,556
  6. Step 6: Final answer
    x = 261,900.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.