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Finding the Third Proportional to 129,097 and 185,935

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Solution

The third proportional to 129,097 and 185,935 is: 267,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,097 : 185,935 = 185,935 : x
  2. Step 2: Convert to fraction form
    129,097/185,935 = 185,935/x
  3. Step 3: Cross multiply
    129,097x = 185,935 × 185,935
  4. Step 4: Simplify right side
    129,097x = 34,571,824,225
  5. Step 5: Solve for x
    x = 34,571,824,225/129,097
  6. Step 6: Final answer
    x = 267,797.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.