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Finding the Third Proportional to 58,704 and 123,240

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Solution

The third proportional to 58,704 and 123,240 is: 258,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,704 : 123,240 = 123,240 : x
  2. Step 2: Convert to fraction form
    58,704/123,240 = 123,240/x
  3. Step 3: Cross multiply
    58,704x = 123,240 × 123,240
  4. Step 4: Simplify right side
    58,704x = 15,188,097,600
  5. Step 5: Solve for x
    x = 15,188,097,600/58,704
  6. Step 6: Final answer
    x = 258,723.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.