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Finding the Third Proportional to 110,692 and 175,590

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Solution

The third proportional to 110,692 and 175,590 is: 278,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,692 : 175,590 = 175,590 : x
  2. Step 2: Convert to fraction form
    110,692/175,590 = 175,590/x
  3. Step 3: Cross multiply
    110,692x = 175,590 × 175,590
  4. Step 4: Simplify right side
    110,692x = 30,831,848,100
  5. Step 5: Solve for x
    x = 30,831,848,100/110,692
  6. Step 6: Final answer
    x = 278,537.28

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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.