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Finding the Third Proportional to 55,884 and 121,231.50

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Solution

The third proportional to 55,884 and 121,231.50 is: 262,992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,884 : 121,231.50 = 121,231.50 : x
  2. Step 2: Convert to fraction form
    55,884/121,231.50 = 121,231.50/x
  3. Step 3: Cross multiply
    55,884x = 121,231.50 × 121,231.50
  4. Step 4: Simplify right side
    55,884x = 14,697,076,592.25
  5. Step 5: Solve for x
    x = 14,697,076,592.25/55,884
  6. Step 6: Final answer
    x = 262,992.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.