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Finding the Third Proportional to 112,392 and 174,016

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Solution

The third proportional to 112,392 and 174,016 is: 269,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,392 : 174,016 = 174,016 : x
  2. Step 2: Convert to fraction form
    112,392/174,016 = 174,016/x
  3. Step 3: Cross multiply
    112,392x = 174,016 × 174,016
  4. Step 4: Simplify right side
    112,392x = 30,281,568,256
  5. Step 5: Solve for x
    x = 30,281,568,256/112,392
  6. Step 6: Final answer
    x = 269,428.15

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