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Finding the Third Proportional to 50,463 and 78,359.63

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Solution

The third proportional to 50,463 and 78,359.63 is: 121,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,463 : 78,359.63 = 78,359.63 : x
  2. Step 2: Convert to fraction form
    50,463/78,359.63 = 78,359.63/x
  3. Step 3: Cross multiply
    50,463x = 78,359.63 × 78,359.63
  4. Step 4: Simplify right side
    50,463x = 6,140,230,830.14
  5. Step 5: Solve for x
    x = 6,140,230,830.14/50,463
  6. Step 6: Final answer
    x = 121,677.88

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