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Finding the Third Proportional to 53,180.50 and 113,400.50

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Solution

The third proportional to 53,180.50 and 113,400.50 is: 241,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,180.50 : 113,400.50 = 113,400.50 : x
  2. Step 2: Convert to fraction form
    53,180.50/113,400.50 = 113,400.50/x
  3. Step 3: Cross multiply
    53,180.50x = 113,400.50 × 113,400.50
  4. Step 4: Simplify right side
    53,180.50x = 12,859,673,400.25
  5. Step 5: Solve for x
    x = 12,859,673,400.25/53,180.50
  6. Step 6: Final answer
    x = 241,811.82

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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.