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Finding the Third Proportional to 79,935 and 175,097

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Solution

The third proportional to 79,935 and 175,097 is: 383,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,935 : 175,097 = 175,097 : x
  2. Step 2: Convert to fraction form
    79,935/175,097 = 175,097/x
  3. Step 3: Cross multiply
    79,935x = 175,097 × 175,097
  4. Step 4: Simplify right side
    79,935x = 30,658,959,409
  5. Step 5: Solve for x
    x = 30,658,959,409/79,935
  6. Step 6: Final answer
    x = 383,548.63

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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.