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Finding the Third Proportional to 55,344.38 and 122,317.50

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Solution

The third proportional to 55,344.38 and 122,317.50 is: 270,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,344.38 : 122,317.50 = 122,317.50 : x
  2. Step 2: Convert to fraction form
    55,344.38/122,317.50 = 122,317.50/x
  3. Step 3: Cross multiply
    55,344.38x = 122,317.50 × 122,317.50
  4. Step 4: Simplify right side
    55,344.38x = 14,961,570,806.25
  5. Step 5: Solve for x
    x = 14,961,570,806.25/55,344.38
  6. Step 6: Final answer
    x = 270,335.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.