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Finding the Third Proportional to 55,973 and 120,968

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Solution

The third proportional to 55,973 and 120,968 is: 261,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,973 : 120,968 = 120,968 : x
  2. Step 2: Convert to fraction form
    55,973/120,968 = 120,968/x
  3. Step 3: Cross multiply
    55,973x = 120,968 × 120,968
  4. Step 4: Simplify right side
    55,973x = 14,633,257,024
  5. Step 5: Solve for x
    x = 14,633,257,024/55,973
  6. Step 6: Final answer
    x = 261,434.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.