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Finding the Third Proportional to 74,161 and 114,926

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Solution

The third proportional to 74,161 and 114,926 is: 178,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,161 : 114,926 = 114,926 : x
  2. Step 2: Convert to fraction form
    74,161/114,926 = 114,926/x
  3. Step 3: Cross multiply
    74,161x = 114,926 × 114,926
  4. Step 4: Simplify right side
    74,161x = 13,207,985,476
  5. Step 5: Solve for x
    x = 13,207,985,476/74,161
  6. Step 6: Final answer
    x = 178,098.80

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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.