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Finding the Third Proportional to 62,590 and 128,096

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Solution

The third proportional to 62,590 and 128,096 is: 262,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,590 : 128,096 = 128,096 : x
  2. Step 2: Convert to fraction form
    62,590/128,096 = 128,096/x
  3. Step 3: Cross multiply
    62,590x = 128,096 × 128,096
  4. Step 4: Simplify right side
    62,590x = 16,408,585,216
  5. Step 5: Solve for x
    x = 16,408,585,216/62,590
  6. Step 6: Final answer
    x = 262,159.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.