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Finding the Third Proportional to 54,338.63 and 116,710.88

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Solution

The third proportional to 54,338.63 and 116,710.88 is: 250,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,338.63 : 116,710.88 = 116,710.88 : x
  2. Step 2: Convert to fraction form
    54,338.63/116,710.88 = 116,710.88/x
  3. Step 3: Cross multiply
    54,338.63x = 116,710.88 × 116,710.88
  4. Step 4: Simplify right side
    54,338.63x = 13,621,428,343.27
  5. Step 5: Solve for x
    x = 13,621,428,343.27/54,338.63
  6. Step 6: Final answer
    x = 250,676.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.