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Finding the Third Proportional to 140,128.50 and 223,077

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Solution

The third proportional to 140,128.50 and 223,077 is: 355,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,128.50 : 223,077 = 223,077 : x
  2. Step 2: Convert to fraction form
    140,128.50/223,077 = 223,077/x
  3. Step 3: Cross multiply
    140,128.50x = 223,077 × 223,077
  4. Step 4: Simplify right side
    140,128.50x = 49,763,347,929
  5. Step 5: Solve for x
    x = 49,763,347,929/140,128.50
  6. Step 6: Final answer
    x = 355,126.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.