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Finding the Third Proportional to 113,648 and 176,208

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Solution

The third proportional to 113,648 and 176,208 is: 273,205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,648 : 176,208 = 176,208 : x
  2. Step 2: Convert to fraction form
    113,648/176,208 = 176,208/x
  3. Step 3: Cross multiply
    113,648x = 176,208 × 176,208
  4. Step 4: Simplify right side
    113,648x = 31,049,259,264
  5. Step 5: Solve for x
    x = 31,049,259,264/113,648
  6. Step 6: Final answer
    x = 273,205.51

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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.