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Finding the Third Proportional to 65,614 and 104,454

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Solution

The third proportional to 65,614 and 104,454 is: 166,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,614 : 104,454 = 104,454 : x
  2. Step 2: Convert to fraction form
    65,614/104,454 = 104,454/x
  3. Step 3: Cross multiply
    65,614x = 104,454 × 104,454
  4. Step 4: Simplify right side
    65,614x = 10,910,638,116
  5. Step 5: Solve for x
    x = 10,910,638,116/65,614
  6. Step 6: Final answer
    x = 166,285.22

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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.