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Finding the Third Proportional to 110,252 and 174,807

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Solution

The third proportional to 110,252 and 174,807 is: 277,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,252 : 174,807 = 174,807 : x
  2. Step 2: Convert to fraction form
    110,252/174,807 = 174,807/x
  3. Step 3: Cross multiply
    110,252x = 174,807 × 174,807
  4. Step 4: Simplify right side
    110,252x = 30,557,487,249
  5. Step 5: Solve for x
    x = 30,557,487,249/110,252
  6. Step 6: Final answer
    x = 277,160.39

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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.