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Finding the Third Proportional to 56,578.50 and 117,804.38

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Solution

The third proportional to 56,578.50 and 117,804.38 is: 245,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,578.50 : 117,804.38 = 117,804.38 : x
  2. Step 2: Convert to fraction form
    56,578.50/117,804.38 = 117,804.38/x
  3. Step 3: Cross multiply
    56,578.50x = 117,804.38 × 117,804.38
  4. Step 4: Simplify right side
    56,578.50x = 13,877,870,769.14
  5. Step 5: Solve for x
    x = 13,877,870,769.14/56,578.50
  6. Step 6: Final answer
    x = 245,285.24

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.