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Finding the Third Proportional to 59,512 and 124,860

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Solution

The third proportional to 59,512 and 124,860 is: 261,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,512 : 124,860 = 124,860 : x
  2. Step 2: Convert to fraction form
    59,512/124,860 = 124,860/x
  3. Step 3: Cross multiply
    59,512x = 124,860 × 124,860
  4. Step 4: Simplify right side
    59,512x = 15,590,019,600
  5. Step 5: Solve for x
    x = 15,590,019,600/59,512
  6. Step 6: Final answer
    x = 261,964.30

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