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Finding the Third Proportional to 56,188 and 120,152

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Solution

The third proportional to 56,188 and 120,152 is: 256,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,188 : 120,152 = 120,152 : x
  2. Step 2: Convert to fraction form
    56,188/120,152 = 120,152/x
  3. Step 3: Cross multiply
    56,188x = 120,152 × 120,152
  4. Step 4: Simplify right side
    56,188x = 14,436,503,104
  5. Step 5: Solve for x
    x = 14,436,503,104/56,188
  6. Step 6: Final answer
    x = 256,932.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.