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Finding the Third Proportional to 56,775.94 and 123,210.84

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Solution

The third proportional to 56,775.94 and 123,210.84 is: 267,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,775.94 : 123,210.84 = 123,210.84 : x
  2. Step 2: Convert to fraction form
    56,775.94/123,210.84 = 123,210.84/x
  3. Step 3: Cross multiply
    56,775.94x = 123,210.84 × 123,210.84
  4. Step 4: Simplify right side
    56,775.94x = 15,180,912,017.59
  5. Step 5: Solve for x
    x = 15,180,912,017.59/56,775.94
  6. Step 6: Final answer
    x = 267,382.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.