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Finding the Third Proportional to 55,223.86 and 119,259.84

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Solution

The third proportional to 55,223.86 and 119,259.84 is: 257,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,223.86 : 119,259.84 = 119,259.84 : x
  2. Step 2: Convert to fraction form
    55,223.86/119,259.84 = 119,259.84/x
  3. Step 3: Cross multiply
    55,223.86x = 119,259.84 × 119,259.84
  4. Step 4: Simplify right side
    55,223.86x = 14,222,910,331.27
  5. Step 5: Solve for x
    x = 14,222,910,331.27/55,223.86
  6. Step 6: Final answer
    x = 257,550.10

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