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Finding the Third Proportional to 110,103 and 174,996

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Solution

The third proportional to 110,103 and 174,996 is: 278,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,103 : 174,996 = 174,996 : x
  2. Step 2: Convert to fraction form
    110,103/174,996 = 174,996/x
  3. Step 3: Cross multiply
    110,103x = 174,996 × 174,996
  4. Step 4: Simplify right side
    110,103x = 30,623,600,016
  5. Step 5: Solve for x
    x = 30,623,600,016/110,103
  6. Step 6: Final answer
    x = 278,135.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.