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Finding the Third Proportional to 39,734 and 85,237

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Solution

The third proportional to 39,734 and 85,237 is: 182,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,734 : 85,237 = 85,237 : x
  2. Step 2: Convert to fraction form
    39,734/85,237 = 85,237/x
  3. Step 3: Cross multiply
    39,734x = 85,237 × 85,237
  4. Step 4: Simplify right side
    39,734x = 7,265,346,169
  5. Step 5: Solve for x
    x = 7,265,346,169/39,734
  6. Step 6: Final answer
    x = 182,849.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.