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Finding the Third Proportional to 86,847 and 129,904.50

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Solution

The third proportional to 86,847 and 129,904.50 is: 194,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,847 : 129,904.50 = 129,904.50 : x
  2. Step 2: Convert to fraction form
    86,847/129,904.50 = 129,904.50/x
  3. Step 3: Cross multiply
    86,847x = 129,904.50 × 129,904.50
  4. Step 4: Simplify right side
    86,847x = 16,875,179,120.25
  5. Step 5: Solve for x
    x = 16,875,179,120.25/86,847
  6. Step 6: Final answer
    x = 194,309.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.