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Finding the Third Proportional to 84,474.75 and 126,460.50

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Solution

The third proportional to 84,474.75 and 126,460.50 is: 189,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,474.75 : 126,460.50 = 126,460.50 : x
  2. Step 2: Convert to fraction form
    84,474.75/126,460.50 = 126,460.50/x
  3. Step 3: Cross multiply
    84,474.75x = 126,460.50 × 126,460.50
  4. Step 4: Simplify right side
    84,474.75x = 15,992,258,060.25
  5. Step 5: Solve for x
    x = 15,992,258,060.25/84,474.75
  6. Step 6: Final answer
    x = 189,314.06

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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.