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Finding the Third Proportional to 52,119.50 and 122,912.50

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Solution

The third proportional to 52,119.50 and 122,912.50 is: 289,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,119.50 : 122,912.50 = 122,912.50 : x
  2. Step 2: Convert to fraction form
    52,119.50/122,912.50 = 122,912.50/x
  3. Step 3: Cross multiply
    52,119.50x = 122,912.50 × 122,912.50
  4. Step 4: Simplify right side
    52,119.50x = 15,107,482,656.25
  5. Step 5: Solve for x
    x = 15,107,482,656.25/52,119.50
  6. Step 6: Final answer
    x = 289,862.39

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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.