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Finding the Third Proportional to 86,044 and 185,926

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Solution

The third proportional to 86,044 and 185,926 is: 401,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,044 : 185,926 = 185,926 : x
  2. Step 2: Convert to fraction form
    86,044/185,926 = 185,926/x
  3. Step 3: Cross multiply
    86,044x = 185,926 × 185,926
  4. Step 4: Simplify right side
    86,044x = 34,568,477,476
  5. Step 5: Solve for x
    x = 34,568,477,476/86,044
  6. Step 6: Final answer
    x = 401,753.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.