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Finding the Third Proportional to 94,833.36 and 140,805.21

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Solution

The third proportional to 94,833.36 and 140,805.21 is: 209,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,833.36 : 140,805.21 = 140,805.21 : x
  2. Step 2: Convert to fraction form
    94,833.36/140,805.21 = 140,805.21/x
  3. Step 3: Cross multiply
    94,833.36x = 140,805.21 × 140,805.21
  4. Step 4: Simplify right side
    94,833.36x = 19,826,107,427.15
  5. Step 5: Solve for x
    x = 19,826,107,427.15/94,833.36
  6. Step 6: Final answer
    x = 209,062.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.