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Finding the Third Proportional to 39,258 and 86,292

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Solution

The third proportional to 39,258 and 86,292 is: 189,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,258 : 86,292 = 86,292 : x
  2. Step 2: Convert to fraction form
    39,258/86,292 = 86,292/x
  3. Step 3: Cross multiply
    39,258x = 86,292 × 86,292
  4. Step 4: Simplify right side
    39,258x = 7,446,309,264
  5. Step 5: Solve for x
    x = 7,446,309,264/39,258
  6. Step 6: Final answer
    x = 189,676.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.