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Finding the Third Proportional to 39,070 and 86,108

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Solution

The third proportional to 39,070 and 86,108 is: 189,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,070 : 86,108 = 86,108 : x
  2. Step 2: Convert to fraction form
    39,070/86,108 = 86,108/x
  3. Step 3: Cross multiply
    39,070x = 86,108 × 86,108
  4. Step 4: Simplify right side
    39,070x = 7,414,587,664
  5. Step 5: Solve for x
    x = 7,414,587,664/39,070
  6. Step 6: Final answer
    x = 189,777.01

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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.