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Finding the Third Proportional to 57,368.81 and 80,645.06

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Solution

The third proportional to 57,368.81 and 80,645.06 is: 113,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,368.81 : 80,645.06 = 80,645.06 : x
  2. Step 2: Convert to fraction form
    57,368.81/80,645.06 = 80,645.06/x
  3. Step 3: Cross multiply
    57,368.81x = 80,645.06 × 80,645.06
  4. Step 4: Simplify right side
    57,368.81x = 6,503,626,105.63
  5. Step 5: Solve for x
    x = 6,503,626,105.63/57,368.81
  6. Step 6: Final answer
    x = 113,365.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.