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Finding the Third Proportional to 65,656 and 104,225

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Solution

The third proportional to 65,656 and 104,225 is: 165,451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,656 : 104,225 = 104,225 : x
  2. Step 2: Convert to fraction form
    65,656/104,225 = 104,225/x
  3. Step 3: Cross multiply
    65,656x = 104,225 × 104,225
  4. Step 4: Simplify right side
    65,656x = 10,862,850,625
  5. Step 5: Solve for x
    x = 10,862,850,625/65,656
  6. Step 6: Final answer
    x = 165,451.00

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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.