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Finding the Third Proportional to 75,773 and 117,251

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Solution

The third proportional to 75,773 and 117,251 is: 181,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,773 : 117,251 = 117,251 : x
  2. Step 2: Convert to fraction form
    75,773/117,251 = 117,251/x
  3. Step 3: Cross multiply
    75,773x = 117,251 × 117,251
  4. Step 4: Simplify right side
    75,773x = 13,747,797,001
  5. Step 5: Solve for x
    x = 13,747,797,001/75,773
  6. Step 6: Final answer
    x = 181,433.98

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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.