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Finding the Third Proportional to 111,634 and 167,471.50

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Solution

The third proportional to 111,634 and 167,471.50 is: 251,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,634 : 167,471.50 = 167,471.50 : x
  2. Step 2: Convert to fraction form
    111,634/167,471.50 = 167,471.50/x
  3. Step 3: Cross multiply
    111,634x = 167,471.50 × 167,471.50
  4. Step 4: Simplify right side
    111,634x = 28,046,703,312.25
  5. Step 5: Solve for x
    x = 28,046,703,312.25/111,634
  6. Step 6: Final answer
    x = 251,238.00

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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.