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Finding the Third Proportional to 66,370.50 and 110,733.50

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Solution

The third proportional to 66,370.50 and 110,733.50 is: 184,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,370.50 : 110,733.50 = 110,733.50 : x
  2. Step 2: Convert to fraction form
    66,370.50/110,733.50 = 110,733.50/x
  3. Step 3: Cross multiply
    66,370.50x = 110,733.50 × 110,733.50
  4. Step 4: Simplify right side
    66,370.50x = 12,261,908,022.25
  5. Step 5: Solve for x
    x = 12,261,908,022.25/66,370.50
  6. Step 6: Final answer
    x = 184,749.37

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.