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Finding the Third Proportional to 115,086 and 251,094

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Solution

The third proportional to 115,086 and 251,094 is: 547,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,086 : 251,094 = 251,094 : x
  2. Step 2: Convert to fraction form
    115,086/251,094 = 251,094/x
  3. Step 3: Cross multiply
    115,086x = 251,094 × 251,094
  4. Step 4: Simplify right side
    115,086x = 63,048,196,836
  5. Step 5: Solve for x
    x = 63,048,196,836/115,086
  6. Step 6: Final answer
    x = 547,835.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.