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Finding the Third Proportional to 85,378.50 and 128,052

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Solution

The third proportional to 85,378.50 and 128,052 is: 192,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,378.50 : 128,052 = 128,052 : x
  2. Step 2: Convert to fraction form
    85,378.50/128,052 = 128,052/x
  3. Step 3: Cross multiply
    85,378.50x = 128,052 × 128,052
  4. Step 4: Simplify right side
    85,378.50x = 16,397,314,704
  5. Step 5: Solve for x
    x = 16,397,314,704/85,378.50
  6. Step 6: Final answer
    x = 192,054.38

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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.