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Finding the Third Proportional to 50,202.50 and 77,734.50

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Solution

The third proportional to 50,202.50 and 77,734.50 is: 120,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,202.50 : 77,734.50 = 77,734.50 : x
  2. Step 2: Convert to fraction form
    50,202.50/77,734.50 = 77,734.50/x
  3. Step 3: Cross multiply
    50,202.50x = 77,734.50 × 77,734.50
  4. Step 4: Simplify right side
    50,202.50x = 6,042,652,490.25
  5. Step 5: Solve for x
    x = 6,042,652,490.25/50,202.50
  6. Step 6: Final answer
    x = 120,365.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.