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Finding the Third Proportional to 56,284 and 123,024

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Solution

The third proportional to 56,284 and 123,024 is: 268,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,284 : 123,024 = 123,024 : x
  2. Step 2: Convert to fraction form
    56,284/123,024 = 123,024/x
  3. Step 3: Cross multiply
    56,284x = 123,024 × 123,024
  4. Step 4: Simplify right side
    56,284x = 15,134,904,576
  5. Step 5: Solve for x
    x = 15,134,904,576/56,284
  6. Step 6: Final answer
    x = 268,902.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.