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Finding the Third Proportional to 56,111 and 122,779

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Solution

The third proportional to 56,111 and 122,779 is: 268,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,111 : 122,779 = 122,779 : x
  2. Step 2: Convert to fraction form
    56,111/122,779 = 122,779/x
  3. Step 3: Cross multiply
    56,111x = 122,779 × 122,779
  4. Step 4: Simplify right side
    56,111x = 15,074,682,841
  5. Step 5: Solve for x
    x = 15,074,682,841/56,111
  6. Step 6: Final answer
    x = 268,658.25

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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.