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Finding the Third Proportional to 113,164 and 248,089

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Solution

The third proportional to 113,164 and 248,089 is: 543,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,164 : 248,089 = 248,089 : x
  2. Step 2: Convert to fraction form
    113,164/248,089 = 248,089/x
  3. Step 3: Cross multiply
    113,164x = 248,089 × 248,089
  4. Step 4: Simplify right side
    113,164x = 61,548,151,921
  5. Step 5: Solve for x
    x = 61,548,151,921/113,164
  6. Step 6: Final answer
    x = 543,884.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.