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Finding the Third Proportional to 65,675 and 104,011

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Solution

The third proportional to 65,675 and 104,011 is: 164,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,675 : 104,011 = 104,011 : x
  2. Step 2: Convert to fraction form
    65,675/104,011 = 104,011/x
  3. Step 3: Cross multiply
    65,675x = 104,011 × 104,011
  4. Step 4: Simplify right side
    65,675x = 10,818,288,121
  5. Step 5: Solve for x
    x = 10,818,288,121/65,675
  6. Step 6: Final answer
    x = 164,724.60

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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.