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Finding the Third Proportional to 56,223 and 120,784

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Solution

The third proportional to 56,223 and 120,784 is: 259,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,223 : 120,784 = 120,784 : x
  2. Step 2: Convert to fraction form
    56,223/120,784 = 120,784/x
  3. Step 3: Cross multiply
    56,223x = 120,784 × 120,784
  4. Step 4: Simplify right side
    56,223x = 14,588,774,656
  5. Step 5: Solve for x
    x = 14,588,774,656/56,223
  6. Step 6: Final answer
    x = 259,480.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.