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Finding the Third Proportional to 55,639 and 123,718

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Solution

The third proportional to 55,639 and 123,718 is: 275,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,639 : 123,718 = 123,718 : x
  2. Step 2: Convert to fraction form
    55,639/123,718 = 123,718/x
  3. Step 3: Cross multiply
    55,639x = 123,718 × 123,718
  4. Step 4: Simplify right side
    55,639x = 15,306,143,524
  5. Step 5: Solve for x
    x = 15,306,143,524/55,639
  6. Step 6: Final answer
    x = 275,097.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.