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Finding the Third Proportional to 54,840 and 113,564

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Solution

The third proportional to 54,840 and 113,564 is: 235,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,840 : 113,564 = 113,564 : x
  2. Step 2: Convert to fraction form
    54,840/113,564 = 113,564/x
  3. Step 3: Cross multiply
    54,840x = 113,564 × 113,564
  4. Step 4: Simplify right side
    54,840x = 12,896,782,096
  5. Step 5: Solve for x
    x = 12,896,782,096/54,840
  6. Step 6: Final answer
    x = 235,171.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.