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Finding the Third Proportional to 175,059 and 193,104

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Solution

The third proportional to 175,059 and 193,104 is: 213,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,059 : 193,104 = 193,104 : x
  2. Step 2: Convert to fraction form
    175,059/193,104 = 193,104/x
  3. Step 3: Cross multiply
    175,059x = 193,104 × 193,104
  4. Step 4: Simplify right side
    175,059x = 37,289,154,816
  5. Step 5: Solve for x
    x = 37,289,154,816/175,059
  6. Step 6: Final answer
    x = 213,009.07

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.