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Finding the Third Proportional to 56,718 and 123,648

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Solution

The third proportional to 56,718 and 123,648 is: 269,558.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,718 : 123,648 = 123,648 : x
  2. Step 2: Convert to fraction form
    56,718/123,648 = 123,648/x
  3. Step 3: Cross multiply
    56,718x = 123,648 × 123,648
  4. Step 4: Simplify right side
    56,718x = 15,288,827,904
  5. Step 5: Solve for x
    x = 15,288,827,904/56,718
  6. Step 6: Final answer
    x = 269,558.66

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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.