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Finding the Third Proportional to 86,042 and 185,921

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Solution

The third proportional to 86,042 and 185,921 is: 401,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,042 : 185,921 = 185,921 : x
  2. Step 2: Convert to fraction form
    86,042/185,921 = 185,921/x
  3. Step 3: Cross multiply
    86,042x = 185,921 × 185,921
  4. Step 4: Simplify right side
    86,042x = 34,566,618,241
  5. Step 5: Solve for x
    x = 34,566,618,241/86,042
  6. Step 6: Final answer
    x = 401,741.22

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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.