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Finding the Third Proportional to 77,954.50 and 114,015.50

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Solution

The third proportional to 77,954.50 and 114,015.50 is: 166,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,954.50 : 114,015.50 = 114,015.50 : x
  2. Step 2: Convert to fraction form
    77,954.50/114,015.50 = 114,015.50/x
  3. Step 3: Cross multiply
    77,954.50x = 114,015.50 × 114,015.50
  4. Step 4: Simplify right side
    77,954.50x = 12,999,534,240.25
  5. Step 5: Solve for x
    x = 12,999,534,240.25/77,954.50
  6. Step 6: Final answer
    x = 166,757.97

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Why These Related Problems?

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