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Finding the Third Proportional to 57,216 and 120,864

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Solution

The third proportional to 57,216 and 120,864 is: 255,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,216 : 120,864 = 120,864 : x
  2. Step 2: Convert to fraction form
    57,216/120,864 = 120,864/x
  3. Step 3: Cross multiply
    57,216x = 120,864 × 120,864
  4. Step 4: Simplify right side
    57,216x = 14,608,106,496
  5. Step 5: Solve for x
    x = 14,608,106,496/57,216
  6. Step 6: Final answer
    x = 255,315.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.