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Finding the Third Proportional to 56,269.69 and 120,315.38

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Solution

The third proportional to 56,269.69 and 120,315.38 is: 257,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,269.69 : 120,315.38 = 120,315.38 : x
  2. Step 2: Convert to fraction form
    56,269.69/120,315.38 = 120,315.38/x
  3. Step 3: Cross multiply
    56,269.69x = 120,315.38 × 120,315.38
  4. Step 4: Simplify right side
    56,269.69x = 14,475,789,461.39
  5. Step 5: Solve for x
    x = 14,475,789,461.39/56,269.69
  6. Step 6: Final answer
    x = 257,257.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.