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Finding the Third Proportional to 64,660 and 141,608

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Solution

The third proportional to 64,660 and 141,608 is: 310,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,660 : 141,608 = 141,608 : x
  2. Step 2: Convert to fraction form
    64,660/141,608 = 141,608/x
  3. Step 3: Cross multiply
    64,660x = 141,608 × 141,608
  4. Step 4: Simplify right side
    64,660x = 20,052,825,664
  5. Step 5: Solve for x
    x = 20,052,825,664/64,660
  6. Step 6: Final answer
    x = 310,127.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.