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Finding the Third Proportional to 53,505 and 126,533.25

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Solution

The third proportional to 53,505 and 126,533.25 is: 299,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,505 : 126,533.25 = 126,533.25 : x
  2. Step 2: Convert to fraction form
    53,505/126,533.25 = 126,533.25/x
  3. Step 3: Cross multiply
    53,505x = 126,533.25 × 126,533.25
  4. Step 4: Simplify right side
    53,505x = 16,010,663,355.56
  5. Step 5: Solve for x
    x = 16,010,663,355.56/53,505
  6. Step 6: Final answer
    x = 299,236.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.