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Finding the Third Proportional to 110,965.50 and 171,627

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Solution

The third proportional to 110,965.50 and 171,627 is: 265,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,965.50 : 171,627 = 171,627 : x
  2. Step 2: Convert to fraction form
    110,965.50/171,627 = 171,627/x
  3. Step 3: Cross multiply
    110,965.50x = 171,627 × 171,627
  4. Step 4: Simplify right side
    110,965.50x = 29,455,827,129
  5. Step 5: Solve for x
    x = 29,455,827,129/110,965.50
  6. Step 6: Final answer
    x = 265,450.32

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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.