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Finding the Third Proportional to 103,639 and 164,803

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Solution

The third proportional to 103,639 and 164,803 is: 262,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,639 : 164,803 = 164,803 : x
  2. Step 2: Convert to fraction form
    103,639/164,803 = 164,803/x
  3. Step 3: Cross multiply
    103,639x = 164,803 × 164,803
  4. Step 4: Simplify right side
    103,639x = 27,160,028,809
  5. Step 5: Solve for x
    x = 27,160,028,809/103,639
  6. Step 6: Final answer
    x = 262,063.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.