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Finding the Third Proportional to 53,500.50 and 113,811.75

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Solution

The third proportional to 53,500.50 and 113,811.75 is: 242,112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,500.50 : 113,811.75 = 113,811.75 : x
  2. Step 2: Convert to fraction form
    53,500.50/113,811.75 = 113,811.75/x
  3. Step 3: Cross multiply
    53,500.50x = 113,811.75 × 113,811.75
  4. Step 4: Simplify right side
    53,500.50x = 12,953,114,438.06
  5. Step 5: Solve for x
    x = 12,953,114,438.06/53,500.50
  6. Step 6: Final answer
    x = 242,112.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.