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Finding the Third Proportional to 55,783.69 and 121,408.88

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Solution

The third proportional to 55,783.69 and 121,408.88 is: 264,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,783.69 : 121,408.88 = 121,408.88 : x
  2. Step 2: Convert to fraction form
    55,783.69/121,408.88 = 121,408.88/x
  3. Step 3: Cross multiply
    55,783.69x = 121,408.88 × 121,408.88
  4. Step 4: Simplify right side
    55,783.69x = 14,740,114,928.77
  5. Step 5: Solve for x
    x = 14,740,114,928.77/55,783.69
  6. Step 6: Final answer
    x = 264,237.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.