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Finding the Third Proportional to 52,266.38 and 111,274.88

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Solution

The third proportional to 52,266.38 and 111,274.88 is: 236,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,266.38 : 111,274.88 = 111,274.88 : x
  2. Step 2: Convert to fraction form
    52,266.38/111,274.88 = 111,274.88/x
  3. Step 3: Cross multiply
    52,266.38x = 111,274.88 × 111,274.88
  4. Step 4: Simplify right side
    52,266.38x = 12,382,097,806.27
  5. Step 5: Solve for x
    x = 12,382,097,806.27/52,266.38
  6. Step 6: Final answer
    x = 236,903.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.