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Finding the Third Proportional to 112,534 and 174,192

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Solution

The third proportional to 112,534 and 174,192 is: 269,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,534 : 174,192 = 174,192 : x
  2. Step 2: Convert to fraction form
    112,534/174,192 = 174,192/x
  3. Step 3: Cross multiply
    112,534x = 174,192 × 174,192
  4. Step 4: Simplify right side
    112,534x = 30,342,852,864
  5. Step 5: Solve for x
    x = 30,342,852,864/112,534
  6. Step 6: Final answer
    x = 269,632.76

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Why These Related Problems?

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