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Finding the Third Proportional to 56,608.50 and 119,961

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Solution

The third proportional to 56,608.50 and 119,961 is: 254,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,608.50 : 119,961 = 119,961 : x
  2. Step 2: Convert to fraction form
    56,608.50/119,961 = 119,961/x
  3. Step 3: Cross multiply
    56,608.50x = 119,961 × 119,961
  4. Step 4: Simplify right side
    56,608.50x = 14,390,641,521
  5. Step 5: Solve for x
    x = 14,390,641,521/56,608.50
  6. Step 6: Final answer
    x = 254,213.44

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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.