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Finding the Third Proportional to 59,126 and 124,912

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Solution

The third proportional to 59,126 and 124,912 is: 263,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,126 : 124,912 = 124,912 : x
  2. Step 2: Convert to fraction form
    59,126/124,912 = 124,912/x
  3. Step 3: Cross multiply
    59,126x = 124,912 × 124,912
  4. Step 4: Simplify right side
    59,126x = 15,603,007,744
  5. Step 5: Solve for x
    x = 15,603,007,744/59,126
  6. Step 6: Final answer
    x = 263,894.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.