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Finding the Third Proportional to 65,628 and 99,225

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Solution

The third proportional to 65,628 and 99,225 is: 150,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,628 : 99,225 = 99,225 : x
  2. Step 2: Convert to fraction form
    65,628/99,225 = 99,225/x
  3. Step 3: Cross multiply
    65,628x = 99,225 × 99,225
  4. Step 4: Simplify right side
    65,628x = 9,845,600,625
  5. Step 5: Solve for x
    x = 9,845,600,625/65,628
  6. Step 6: Final answer
    x = 150,021.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.