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Finding the Third Proportional to 50,009.50 and 118,051

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Solution

The third proportional to 50,009.50 and 118,051 is: 278,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,009.50 : 118,051 = 118,051 : x
  2. Step 2: Convert to fraction form
    50,009.50/118,051 = 118,051/x
  3. Step 3: Cross multiply
    50,009.50x = 118,051 × 118,051
  4. Step 4: Simplify right side
    50,009.50x = 13,936,038,601
  5. Step 5: Solve for x
    x = 13,936,038,601/50,009.50
  6. Step 6: Final answer
    x = 278,667.83

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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.