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Finding the Third Proportional to 65,628 and 104,202

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Solution

The third proportional to 65,628 and 104,202 is: 165,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,628 : 104,202 = 104,202 : x
  2. Step 2: Convert to fraction form
    65,628/104,202 = 104,202/x
  3. Step 3: Cross multiply
    65,628x = 104,202 × 104,202
  4. Step 4: Simplify right side
    65,628x = 10,858,056,804
  5. Step 5: Solve for x
    x = 10,858,056,804/65,628
  6. Step 6: Final answer
    x = 165,448.54

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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.