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Finding the Third Proportional to 54,823.08 and 113,955.61

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Solution

The third proportional to 54,823.08 and 113,955.61 is: 236,868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,823.08 : 113,955.61 = 113,955.61 : x
  2. Step 2: Convert to fraction form
    54,823.08/113,955.61 = 113,955.61/x
  3. Step 3: Cross multiply
    54,823.08x = 113,955.61 × 113,955.61
  4. Step 4: Simplify right side
    54,823.08x = 12,985,880,908.03
  5. Step 5: Solve for x
    x = 12,985,880,908.03/54,823.08
  6. Step 6: Final answer
    x = 236,868.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.