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Finding the Third Proportional to 53,505.56 and 126,534.66

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Solution

The third proportional to 53,505.56 and 126,534.66 is: 299,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,505.56 : 126,534.66 = 126,534.66 : x
  2. Step 2: Convert to fraction form
    53,505.56/126,534.66 = 126,534.66/x
  3. Step 3: Cross multiply
    53,505.56x = 126,534.66 × 126,534.66
  4. Step 4: Simplify right side
    53,505.56x = 16,011,019,232.31
  5. Step 5: Solve for x
    x = 16,011,019,232.31/53,505.56
  6. Step 6: Final answer
    x = 299,240.27

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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.