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Finding the Third Proportional to 39,261 and 87,229.50

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Solution

The third proportional to 39,261 and 87,229.50 is: 193,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,261 : 87,229.50 = 87,229.50 : x
  2. Step 2: Convert to fraction form
    39,261/87,229.50 = 87,229.50/x
  3. Step 3: Cross multiply
    39,261x = 87,229.50 × 87,229.50
  4. Step 4: Simplify right side
    39,261x = 7,608,985,670.25
  5. Step 5: Solve for x
    x = 7,608,985,670.25/39,261
  6. Step 6: Final answer
    x = 193,805.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.