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Finding the Third Proportional to 56,458 and 120,224

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Solution

The third proportional to 56,458 and 120,224 is: 256,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,458 : 120,224 = 120,224 : x
  2. Step 2: Convert to fraction form
    56,458/120,224 = 120,224/x
  3. Step 3: Cross multiply
    56,458x = 120,224 × 120,224
  4. Step 4: Simplify right side
    56,458x = 14,453,810,176
  5. Step 5: Solve for x
    x = 14,453,810,176/56,458
  6. Step 6: Final answer
    x = 256,009.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.