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Finding the Third Proportional to 58,094 and 127,245

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Solution

The third proportional to 58,094 and 127,245 is: 278,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,094 : 127,245 = 127,245 : x
  2. Step 2: Convert to fraction form
    58,094/127,245 = 127,245/x
  3. Step 3: Cross multiply
    58,094x = 127,245 × 127,245
  4. Step 4: Simplify right side
    58,094x = 16,191,290,025
  5. Step 5: Solve for x
    x = 16,191,290,025/58,094
  6. Step 6: Final answer
    x = 278,708.47

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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.