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Finding the Third Proportional to 56,975.25 and 123,669.75

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Solution

The third proportional to 56,975.25 and 123,669.75 is: 268,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,975.25 : 123,669.75 = 123,669.75 : x
  2. Step 2: Convert to fraction form
    56,975.25/123,669.75 = 123,669.75/x
  3. Step 3: Cross multiply
    56,975.25x = 123,669.75 × 123,669.75
  4. Step 4: Simplify right side
    56,975.25x = 15,294,207,065.06
  5. Step 5: Solve for x
    x = 15,294,207,065.06/56,975.25
  6. Step 6: Final answer
    x = 268,435.98

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Why These Related Problems?

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