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Finding the Third Proportional to 56,100.50 and 120,949

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Solution

The third proportional to 56,100.50 and 120,949 is: 260,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,100.50 : 120,949 = 120,949 : x
  2. Step 2: Convert to fraction form
    56,100.50/120,949 = 120,949/x
  3. Step 3: Cross multiply
    56,100.50x = 120,949 × 120,949
  4. Step 4: Simplify right side
    56,100.50x = 14,628,660,601
  5. Step 5: Solve for x
    x = 14,628,660,601/56,100.50
  6. Step 6: Final answer
    x = 260,758.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.