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Finding the Third Proportional to 45,066 and 104,325.75

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Solution

The third proportional to 45,066 and 104,325.75 is: 241,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,066 : 104,325.75 = 104,325.75 : x
  2. Step 2: Convert to fraction form
    45,066/104,325.75 = 104,325.75/x
  3. Step 3: Cross multiply
    45,066x = 104,325.75 × 104,325.75
  4. Step 4: Simplify right side
    45,066x = 10,883,862,113.06
  5. Step 5: Solve for x
    x = 10,883,862,113.06/45,066
  6. Step 6: Final answer
    x = 241,509.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.