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Finding the Third Proportional to 175,055 and 193,100

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Solution

The third proportional to 175,055 and 193,100 is: 213,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,055 : 193,100 = 193,100 : x
  2. Step 2: Convert to fraction form
    175,055/193,100 = 193,100/x
  3. Step 3: Cross multiply
    175,055x = 193,100 × 193,100
  4. Step 4: Simplify right side
    175,055x = 37,287,610,000
  5. Step 5: Solve for x
    x = 37,287,610,000/175,055
  6. Step 6: Final answer
    x = 213,005.11

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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.