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Finding the Third Proportional to 56,708 and 123,778

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Solution

The third proportional to 56,708 and 123,778 is: 270,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,708 : 123,778 = 123,778 : x
  2. Step 2: Convert to fraction form
    56,708/123,778 = 123,778/x
  3. Step 3: Cross multiply
    56,708x = 123,778 × 123,778
  4. Step 4: Simplify right side
    56,708x = 15,320,993,284
  5. Step 5: Solve for x
    x = 15,320,993,284/56,708
  6. Step 6: Final answer
    x = 270,173.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.