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Finding the Third Proportional to 101,590 and 154,965

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Solution

The third proportional to 101,590 and 154,965 is: 236,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,590 : 154,965 = 154,965 : x
  2. Step 2: Convert to fraction form
    101,590/154,965 = 154,965/x
  3. Step 3: Cross multiply
    101,590x = 154,965 × 154,965
  4. Step 4: Simplify right side
    101,590x = 24,014,151,225
  5. Step 5: Solve for x
    x = 24,014,151,225/101,590
  6. Step 6: Final answer
    x = 236,383.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.