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Finding the Third Proportional to 50,445 and 76,043.25

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Solution

The third proportional to 50,445 and 76,043.25 is: 114,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,445 : 76,043.25 = 76,043.25 : x
  2. Step 2: Convert to fraction form
    50,445/76,043.25 = 76,043.25/x
  3. Step 3: Cross multiply
    50,445x = 76,043.25 × 76,043.25
  4. Step 4: Simplify right side
    50,445x = 5,782,575,870.56
  5. Step 5: Solve for x
    x = 5,782,575,870.56/50,445
  6. Step 6: Final answer
    x = 114,631.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.