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Finding the Third Proportional to 56,695 and 123,752

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Solution

The third proportional to 56,695 and 123,752 is: 270,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,695 : 123,752 = 123,752 : x
  2. Step 2: Convert to fraction form
    56,695/123,752 = 123,752/x
  3. Step 3: Cross multiply
    56,695x = 123,752 × 123,752
  4. Step 4: Simplify right side
    56,695x = 15,314,557,504
  5. Step 5: Solve for x
    x = 15,314,557,504/56,695
  6. Step 6: Final answer
    x = 270,121.84

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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.