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Finding the Third Proportional to 75,895 and 117,265

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Solution

The third proportional to 75,895 and 117,265 is: 181,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,895 : 117,265 = 117,265 : x
  2. Step 2: Convert to fraction form
    75,895/117,265 = 117,265/x
  3. Step 3: Cross multiply
    75,895x = 117,265 × 117,265
  4. Step 4: Simplify right side
    75,895x = 13,751,080,225
  5. Step 5: Solve for x
    x = 13,751,080,225/75,895
  6. Step 6: Final answer
    x = 181,185.59

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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.