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Finding the Third Proportional to 103,971 and 167,440.50

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Solution

The third proportional to 103,971 and 167,440.50 is: 269,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,971 : 167,440.50 = 167,440.50 : x
  2. Step 2: Convert to fraction form
    103,971/167,440.50 = 167,440.50/x
  3. Step 3: Cross multiply
    103,971x = 167,440.50 × 167,440.50
  4. Step 4: Simplify right side
    103,971x = 28,036,321,040.25
  5. Step 5: Solve for x
    x = 28,036,321,040.25/103,971
  6. Step 6: Final answer
    x = 269,655.20

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.