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Finding the Third Proportional to 55,846 and 119,416

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Solution

The third proportional to 55,846 and 119,416 is: 255,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,846 : 119,416 = 119,416 : x
  2. Step 2: Convert to fraction form
    55,846/119,416 = 119,416/x
  3. Step 3: Cross multiply
    55,846x = 119,416 × 119,416
  4. Step 4: Simplify right side
    55,846x = 14,260,181,056
  5. Step 5: Solve for x
    x = 14,260,181,056/55,846
  6. Step 6: Final answer
    x = 255,348.30

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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.