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Finding the Third Proportional to 54,836 and 113,556

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Solution

The third proportional to 54,836 and 113,556 is: 235,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,836 : 113,556 = 113,556 : x
  2. Step 2: Convert to fraction form
    54,836/113,556 = 113,556/x
  3. Step 3: Cross multiply
    54,836x = 113,556 × 113,556
  4. Step 4: Simplify right side
    54,836x = 12,894,965,136
  5. Step 5: Solve for x
    x = 12,894,965,136/54,836
  6. Step 6: Final answer
    x = 235,155.10

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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.