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Finding the Third Proportional to 50,623.50 and 77,467.50

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Solution

The third proportional to 50,623.50 and 77,467.50 is: 118,546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,623.50 : 77,467.50 = 77,467.50 : x
  2. Step 2: Convert to fraction form
    50,623.50/77,467.50 = 77,467.50/x
  3. Step 3: Cross multiply
    50,623.50x = 77,467.50 × 77,467.50
  4. Step 4: Simplify right side
    50,623.50x = 6,001,213,556.25
  5. Step 5: Solve for x
    x = 6,001,213,556.25/50,623.50
  6. Step 6: Final answer
    x = 118,546.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.