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Finding the Third Proportional to 65,674 and 104,009

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Solution

The third proportional to 65,674 and 104,009 is: 164,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,674 : 104,009 = 104,009 : x
  2. Step 2: Convert to fraction form
    65,674/104,009 = 104,009/x
  3. Step 3: Cross multiply
    65,674x = 104,009 × 104,009
  4. Step 4: Simplify right side
    65,674x = 10,817,872,081
  5. Step 5: Solve for x
    x = 10,817,872,081/65,674
  6. Step 6: Final answer
    x = 164,720.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.