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Finding the Third Proportional to 111,428 and 167,673

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Solution

The third proportional to 111,428 and 167,673 is: 252,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,428 : 167,673 = 167,673 : x
  2. Step 2: Convert to fraction form
    111,428/167,673 = 167,673/x
  3. Step 3: Cross multiply
    111,428x = 167,673 × 167,673
  4. Step 4: Simplify right side
    111,428x = 28,114,234,929
  5. Step 5: Solve for x
    x = 28,114,234,929/111,428
  6. Step 6: Final answer
    x = 252,308.53

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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.