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Finding the Third Proportional to 112,832 and 174,140

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Solution

The third proportional to 112,832 and 174,140 is: 268,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,832 : 174,140 = 174,140 : x
  2. Step 2: Convert to fraction form
    112,832/174,140 = 174,140/x
  3. Step 3: Cross multiply
    112,832x = 174,140 × 174,140
  4. Step 4: Simplify right side
    112,832x = 30,324,739,600
  5. Step 5: Solve for x
    x = 30,324,739,600/112,832
  6. Step 6: Final answer
    x = 268,760.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.