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Finding the Third Proportional to 55,568 and 120,352

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Solution

The third proportional to 55,568 and 120,352 is: 260,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,568 : 120,352 = 120,352 : x
  2. Step 2: Convert to fraction form
    55,568/120,352 = 120,352/x
  3. Step 3: Cross multiply
    55,568x = 120,352 × 120,352
  4. Step 4: Simplify right side
    55,568x = 14,484,603,904
  5. Step 5: Solve for x
    x = 14,484,603,904/55,568
  6. Step 6: Final answer
    x = 260,664.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.