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Finding the Third Proportional to 58,244 and 136,916

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Solution

The third proportional to 58,244 and 136,916 is: 321,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,244 : 136,916 = 136,916 : x
  2. Step 2: Convert to fraction form
    58,244/136,916 = 136,916/x
  3. Step 3: Cross multiply
    58,244x = 136,916 × 136,916
  4. Step 4: Simplify right side
    58,244x = 18,745,991,056
  5. Step 5: Solve for x
    x = 18,745,991,056/58,244
  6. Step 6: Final answer
    x = 321,852.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.