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Finding the Third Proportional to 39,091 and 85,351

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Solution

The third proportional to 39,091 and 85,351 is: 186,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,091 : 85,351 = 85,351 : x
  2. Step 2: Convert to fraction form
    39,091/85,351 = 85,351/x
  3. Step 3: Cross multiply
    39,091x = 85,351 × 85,351
  4. Step 4: Simplify right side
    39,091x = 7,284,793,201
  5. Step 5: Solve for x
    x = 7,284,793,201/39,091
  6. Step 6: Final answer
    x = 186,354.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.