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Finding the Third Proportional to 50,437.69 and 78,048.56

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Solution

The third proportional to 50,437.69 and 78,048.56 is: 120,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,437.69 : 78,048.56 = 78,048.56 : x
  2. Step 2: Convert to fraction form
    50,437.69/78,048.56 = 78,048.56/x
  3. Step 3: Cross multiply
    50,437.69x = 78,048.56 × 78,048.56
  4. Step 4: Simplify right side
    50,437.69x = 6,091,578,108.32
  5. Step 5: Solve for x
    x = 6,091,578,108.32/50,437.69
  6. Step 6: Final answer
    x = 120,774.33

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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.