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Finding the Third Proportional to 111,919.50 and 183,555

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Solution

The third proportional to 111,919.50 and 183,555 is: 301,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,919.50 : 183,555 = 183,555 : x
  2. Step 2: Convert to fraction form
    111,919.50/183,555 = 183,555/x
  3. Step 3: Cross multiply
    111,919.50x = 183,555 × 183,555
  4. Step 4: Simplify right side
    111,919.50x = 33,692,438,025
  5. Step 5: Solve for x
    x = 33,692,438,025/111,919.50
  6. Step 6: Final answer
    x = 301,041.71

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.