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Finding the Third Proportional to 56,206 and 119,000

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Solution

The third proportional to 56,206 and 119,000 is: 251,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,206 : 119,000 = 119,000 : x
  2. Step 2: Convert to fraction form
    56,206/119,000 = 119,000/x
  3. Step 3: Cross multiply
    56,206x = 119,000 × 119,000
  4. Step 4: Simplify right side
    56,206x = 14,161,000,000
  5. Step 5: Solve for x
    x = 14,161,000,000/56,206
  6. Step 6: Final answer
    x = 251,948.19

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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.