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Finding the Third Proportional to 111,423.09 and 167,664.30

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Solution

The third proportional to 111,423.09 and 167,664.30 is: 252,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,423.09 : 167,664.30 = 167,664.30 : x
  2. Step 2: Convert to fraction form
    111,423.09/167,664.30 = 167,664.30/x
  3. Step 3: Cross multiply
    111,423.09x = 167,664.30 × 167,664.30
  4. Step 4: Simplify right side
    111,423.09x = 28,111,319,066.34
  5. Step 5: Solve for x
    x = 28,111,319,066.34/111,423.09
  6. Step 6: Final answer
    x = 252,293.47

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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.