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Finding the Third Proportional to 112,512 and 174,141

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Solution

The third proportional to 112,512 and 174,141 is: 269,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,512 : 174,141 = 174,141 : x
  2. Step 2: Convert to fraction form
    112,512/174,141 = 174,141/x
  3. Step 3: Cross multiply
    112,512x = 174,141 × 174,141
  4. Step 4: Simplify right side
    112,512x = 30,325,087,881
  5. Step 5: Solve for x
    x = 30,325,087,881/112,512
  6. Step 6: Final answer
    x = 269,527.59

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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.