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Finding the Third Proportional to 54,156 and 126,535.13

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Solution

The third proportional to 54,156 and 126,535.13 is: 295,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,156 : 126,535.13 = 126,535.13 : x
  2. Step 2: Convert to fraction form
    54,156/126,535.13 = 126,535.13/x
  3. Step 3: Cross multiply
    54,156x = 126,535.13 × 126,535.13
  4. Step 4: Simplify right side
    54,156x = 16,011,137,858.77
  5. Step 5: Solve for x
    x = 16,011,137,858.77/54,156
  6. Step 6: Final answer
    x = 295,648.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.