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Finding the Third Proportional to 112,600 and 158,370

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Solution

The third proportional to 112,600 and 158,370 is: 222,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,600 : 158,370 = 158,370 : x
  2. Step 2: Convert to fraction form
    112,600/158,370 = 158,370/x
  3. Step 3: Cross multiply
    112,600x = 158,370 × 158,370
  4. Step 4: Simplify right side
    112,600x = 25,081,056,900
  5. Step 5: Solve for x
    x = 25,081,056,900/112,600
  6. Step 6: Final answer
    x = 222,744.73

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.