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Finding the Third Proportional to 56,199 and 119,313

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Solution

The third proportional to 56,199 and 119,313 is: 253,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,199 : 119,313 = 119,313 : x
  2. Step 2: Convert to fraction form
    56,199/119,313 = 119,313/x
  3. Step 3: Cross multiply
    56,199x = 119,313 × 119,313
  4. Step 4: Simplify right side
    56,199x = 14,235,591,969
  5. Step 5: Solve for x
    x = 14,235,591,969/56,199
  6. Step 6: Final answer
    x = 253,306.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.