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Finding the Third Proportional to 65,402 and 145,608

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Solution

The third proportional to 65,402 and 145,608 is: 324,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,402 : 145,608 = 145,608 : x
  2. Step 2: Convert to fraction form
    65,402/145,608 = 145,608/x
  3. Step 3: Cross multiply
    65,402x = 145,608 × 145,608
  4. Step 4: Simplify right side
    65,402x = 21,201,689,664
  5. Step 5: Solve for x
    x = 21,201,689,664/65,402
  6. Step 6: Final answer
    x = 324,174.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.