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Finding the Third Proportional to 59,104 and 124,408

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Solution

The third proportional to 59,104 and 124,408 is: 261,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,104 : 124,408 = 124,408 : x
  2. Step 2: Convert to fraction form
    59,104/124,408 = 124,408/x
  3. Step 3: Cross multiply
    59,104x = 124,408 × 124,408
  4. Step 4: Simplify right side
    59,104x = 15,477,350,464
  5. Step 5: Solve for x
    x = 15,477,350,464/59,104
  6. Step 6: Final answer
    x = 261,866.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.