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Finding the Third Proportional to 110,734.50 and 170,992

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Solution

The third proportional to 110,734.50 and 170,992 is: 264,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,734.50 : 170,992 = 170,992 : x
  2. Step 2: Convert to fraction form
    110,734.50/170,992 = 170,992/x
  3. Step 3: Cross multiply
    110,734.50x = 170,992 × 170,992
  4. Step 4: Simplify right side
    110,734.50x = 29,238,264,064
  5. Step 5: Solve for x
    x = 29,238,264,064/110,734.50
  6. Step 6: Final answer
    x = 264,039.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.