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Finding the Third Proportional to 58,327.31 and 122,878.69

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Solution

The third proportional to 58,327.31 and 122,878.69 is: 258,869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,327.31 : 122,878.69 = 122,878.69 : x
  2. Step 2: Convert to fraction form
    58,327.31/122,878.69 = 122,878.69/x
  3. Step 3: Cross multiply
    58,327.31x = 122,878.69 × 122,878.69
  4. Step 4: Simplify right side
    58,327.31x = 15,099,171,841.72
  5. Step 5: Solve for x
    x = 15,099,171,841.72/58,327.31
  6. Step 6: Final answer
    x = 258,869.66

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.