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Finding the Third Proportional to 39,099 and 81,100.50

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Solution

The third proportional to 39,099 and 81,100.50 is: 168,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,099 : 81,100.50 = 81,100.50 : x
  2. Step 2: Convert to fraction form
    39,099/81,100.50 = 81,100.50/x
  3. Step 3: Cross multiply
    39,099x = 81,100.50 × 81,100.50
  4. Step 4: Simplify right side
    39,099x = 6,577,291,100.25
  5. Step 5: Solve for x
    x = 6,577,291,100.25/39,099
  6. Step 6: Final answer
    x = 168,221.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.