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Finding the Third Proportional to 58,323.94 and 122,873.06

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Solution

The third proportional to 58,323.94 and 122,873.06 is: 258,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,323.94 : 122,873.06 = 122,873.06 : x
  2. Step 2: Convert to fraction form
    58,323.94/122,873.06 = 122,873.06/x
  3. Step 3: Cross multiply
    58,323.94x = 122,873.06 × 122,873.06
  4. Step 4: Simplify right side
    58,323.94x = 15,097,789,488.13
  5. Step 5: Solve for x
    x = 15,097,789,488.13/58,323.94
  6. Step 6: Final answer
    x = 258,860.94

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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.