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Finding the Third Proportional to 24,148 and 58,168

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Solution

The third proportional to 24,148 and 58,168 is: 140,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148 : 58,168 = 58,168 : x
  2. Step 2: Convert to fraction form
    24,148/58,168 = 58,168/x
  3. Step 3: Cross multiply
    24,148x = 58,168 × 58,168
  4. Step 4: Simplify right side
    24,148x = 3,383,516,224
  5. Step 5: Solve for x
    x = 3,383,516,224/24,148
  6. Step 6: Final answer
    x = 140,115.80

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.