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Finding the Third Proportional to 110,580 and 171,504

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Solution

The third proportional to 110,580 and 171,504 is: 265,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,580 : 171,504 = 171,504 : x
  2. Step 2: Convert to fraction form
    110,580/171,504 = 171,504/x
  3. Step 3: Cross multiply
    110,580x = 171,504 × 171,504
  4. Step 4: Simplify right side
    110,580x = 29,413,622,016
  5. Step 5: Solve for x
    x = 29,413,622,016/110,580
  6. Step 6: Final answer
    x = 265,994.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.