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Finding the Third Proportional to 103,836 and 162,702

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Solution

The third proportional to 103,836 and 162,702 is: 254,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,836 : 162,702 = 162,702 : x
  2. Step 2: Convert to fraction form
    103,836/162,702 = 162,702/x
  3. Step 3: Cross multiply
    103,836x = 162,702 × 162,702
  4. Step 4: Simplify right side
    103,836x = 26,471,940,804
  5. Step 5: Solve for x
    x = 26,471,940,804/103,836
  6. Step 6: Final answer
    x = 254,939.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.