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Finding the Third Proportional to 56,760 and 123,344

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Solution

The third proportional to 56,760 and 123,344 is: 268,036.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,760 : 123,344 = 123,344 : x
  2. Step 2: Convert to fraction form
    56,760/123,344 = 123,344/x
  3. Step 3: Cross multiply
    56,760x = 123,344 × 123,344
  4. Step 4: Simplify right side
    56,760x = 15,213,742,336
  5. Step 5: Solve for x
    x = 15,213,742,336/56,760
  6. Step 6: Final answer
    x = 268,036.33

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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.