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Finding the Third Proportional to 127,715.63 and 273,768.75

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Solution

The third proportional to 127,715.63 and 273,768.75 is: 586,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,715.63 : 273,768.75 = 273,768.75 : x
  2. Step 2: Convert to fraction form
    127,715.63/273,768.75 = 273,768.75/x
  3. Step 3: Cross multiply
    127,715.63x = 273,768.75 × 273,768.75
  4. Step 4: Simplify right side
    127,715.63x = 74,949,328,476.56
  5. Step 5: Solve for x
    x = 74,949,328,476.56/127,715.63
  6. Step 6: Final answer
    x = 586,845.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.