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Finding the Third Proportional to 77,040.75 and 108,172.13

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Solution

The third proportional to 77,040.75 and 108,172.13 is: 151,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,040.75 : 108,172.13 = 108,172.13 : x
  2. Step 2: Convert to fraction form
    77,040.75/108,172.13 = 108,172.13/x
  3. Step 3: Cross multiply
    77,040.75x = 108,172.13 × 108,172.13
  4. Step 4: Simplify right side
    77,040.75x = 11,701,208,627.02
  5. Step 5: Solve for x
    x = 11,701,208,627.02/77,040.75
  6. Step 6: Final answer
    x = 151,883.37

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.