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Finding the Third Proportional to 123,033.94 and 265,272.47

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Solution

The third proportional to 123,033.94 and 265,272.47 is: 571,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,033.94 : 265,272.47 = 265,272.47 : x
  2. Step 2: Convert to fraction form
    123,033.94/265,272.47 = 265,272.47/x
  3. Step 3: Cross multiply
    123,033.94x = 265,272.47 × 265,272.47
  4. Step 4: Simplify right side
    123,033.94x = 70,369,482,676.72
  5. Step 5: Solve for x
    x = 70,369,482,676.72/123,033.94
  6. Step 6: Final answer
    x = 571,951.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.