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Finding the Third Proportional to 91,640 and 136,596

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Solution

The third proportional to 91,640 and 136,596 is: 203,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,640 : 136,596 = 136,596 : x
  2. Step 2: Convert to fraction form
    91,640/136,596 = 136,596/x
  3. Step 3: Cross multiply
    91,640x = 136,596 × 136,596
  4. Step 4: Simplify right side
    91,640x = 18,658,467,216
  5. Step 5: Solve for x
    x = 18,658,467,216/91,640
  6. Step 6: Final answer
    x = 203,606.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.