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Finding the Third Proportional to 111,654 and 167,501.25

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Solution

The third proportional to 111,654 and 167,501.25 is: 251,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,654 : 167,501.25 = 167,501.25 : x
  2. Step 2: Convert to fraction form
    111,654/167,501.25 = 167,501.25/x
  3. Step 3: Cross multiply
    111,654x = 167,501.25 × 167,501.25
  4. Step 4: Simplify right side
    111,654x = 28,056,668,751.56
  5. Step 5: Solve for x
    x = 28,056,668,751.56/111,654
  6. Step 6: Final answer
    x = 251,282.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.