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Finding the Third Proportional to 56,177 and 119,279.50

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Solution

The third proportional to 56,177 and 119,279.50 is: 253,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,177 : 119,279.50 = 119,279.50 : x
  2. Step 2: Convert to fraction form
    56,177/119,279.50 = 119,279.50/x
  3. Step 3: Cross multiply
    56,177x = 119,279.50 × 119,279.50
  4. Step 4: Simplify right side
    56,177x = 14,227,599,120.25
  5. Step 5: Solve for x
    x = 14,227,599,120.25/56,177
  6. Step 6: Final answer
    x = 253,263.78

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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.