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Finding the Third Proportional to 110,701 and 175,014

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Solution

The third proportional to 110,701 and 175,014 is: 276,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,701 : 175,014 = 175,014 : x
  2. Step 2: Convert to fraction form
    110,701/175,014 = 175,014/x
  3. Step 3: Cross multiply
    110,701x = 175,014 × 175,014
  4. Step 4: Simplify right side
    110,701x = 30,629,900,196
  5. Step 5: Solve for x
    x = 30,629,900,196/110,701
  6. Step 6: Final answer
    x = 276,690.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.