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Finding the Third Proportional to 77,418.75 and 113,139.75

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Solution

The third proportional to 77,418.75 and 113,139.75 is: 165,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,418.75 : 113,139.75 = 113,139.75 : x
  2. Step 2: Convert to fraction form
    77,418.75/113,139.75 = 113,139.75/x
  3. Step 3: Cross multiply
    77,418.75x = 113,139.75 × 113,139.75
  4. Step 4: Simplify right side
    77,418.75x = 12,800,603,030.06
  5. Step 5: Solve for x
    x = 12,800,603,030.06/77,418.75
  6. Step 6: Final answer
    x = 165,342.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.