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Finding the Third Proportional to 50,454 and 118,933.31

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Solution

The third proportional to 50,454 and 118,933.31 is: 280,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,454 : 118,933.31 = 118,933.31 : x
  2. Step 2: Convert to fraction form
    50,454/118,933.31 = 118,933.31/x
  3. Step 3: Cross multiply
    50,454x = 118,933.31 × 118,933.31
  4. Step 4: Simplify right side
    50,454x = 14,145,132,822.22
  5. Step 5: Solve for x
    x = 14,145,132,822.22/50,454
  6. Step 6: Final answer
    x = 280,357.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.