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Finding the Third Proportional to 55,681 and 120,145

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Solution

The third proportional to 55,681 and 120,145 is: 259,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,681 : 120,145 = 120,145 : x
  2. Step 2: Convert to fraction form
    55,681/120,145 = 120,145/x
  3. Step 3: Cross multiply
    55,681x = 120,145 × 120,145
  4. Step 4: Simplify right side
    55,681x = 14,434,821,025
  5. Step 5: Solve for x
    x = 14,434,821,025/55,681
  6. Step 6: Final answer
    x = 259,241.41

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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.