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Finding the Third Proportional to 56,809.25 and 123,020.75

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Solution

The third proportional to 56,809.25 and 123,020.75 is: 266,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,809.25 : 123,020.75 = 123,020.75 : x
  2. Step 2: Convert to fraction form
    56,809.25/123,020.75 = 123,020.75/x
  3. Step 3: Cross multiply
    56,809.25x = 123,020.75 × 123,020.75
  4. Step 4: Simplify right side
    56,809.25x = 15,134,104,930.56
  5. Step 5: Solve for x
    x = 15,134,104,930.56/56,809.25
  6. Step 6: Final answer
    x = 266,402.13

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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.