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Finding the Third Proportional to 54,319.50 and 120,303

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Solution

The third proportional to 54,319.50 and 120,303 is: 266,438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,319.50 : 120,303 = 120,303 : x
  2. Step 2: Convert to fraction form
    54,319.50/120,303 = 120,303/x
  3. Step 3: Cross multiply
    54,319.50x = 120,303 × 120,303
  4. Step 4: Simplify right side
    54,319.50x = 14,472,811,809
  5. Step 5: Solve for x
    x = 14,472,811,809/54,319.50
  6. Step 6: Final answer
    x = 266,438.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.