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Finding the Third Proportional to 56,780.37 and 122,965.59

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Solution

The third proportional to 56,780.37 and 122,965.59 is: 266,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,780.37 : 122,965.59 = 122,965.59 : x
  2. Step 2: Convert to fraction form
    56,780.37/122,965.59 = 122,965.59/x
  3. Step 3: Cross multiply
    56,780.37x = 122,965.59 × 122,965.59
  4. Step 4: Simplify right side
    56,780.37x = 15,120,537,246.29
  5. Step 5: Solve for x
    x = 15,120,537,246.29/56,780.37
  6. Step 6: Final answer
    x = 266,298.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.