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Finding the Third Proportional to 123,054.19 and 289,731.94

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Solution

The third proportional to 123,054.19 and 289,731.94 is: 682,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,054.19 : 289,731.94 = 289,731.94 : x
  2. Step 2: Convert to fraction form
    123,054.19/289,731.94 = 289,731.94/x
  3. Step 3: Cross multiply
    123,054.19x = 289,731.94 × 289,731.94
  4. Step 4: Simplify right side
    123,054.19x = 83,944,595,607.50
  5. Step 5: Solve for x
    x = 83,944,595,607.50/123,054.19
  6. Step 6: Final answer
    x = 682,175.86

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.