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Finding the Third Proportional to 72,328.75 and 111,242

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Solution

The third proportional to 72,328.75 and 111,242 is: 171,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,328.75 : 111,242 = 111,242 : x
  2. Step 2: Convert to fraction form
    72,328.75/111,242 = 111,242/x
  3. Step 3: Cross multiply
    72,328.75x = 111,242 × 111,242
  4. Step 4: Simplify right side
    72,328.75x = 12,374,782,564
  5. Step 5: Solve for x
    x = 12,374,782,564/72,328.75
  6. Step 6: Final answer
    x = 171,090.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.