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Finding the Third Proportional to 64,069 and 137,610

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Solution

The third proportional to 64,069 and 137,610 is: 295,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,069 : 137,610 = 137,610 : x
  2. Step 2: Convert to fraction form
    64,069/137,610 = 137,610/x
  3. Step 3: Cross multiply
    64,069x = 137,610 × 137,610
  4. Step 4: Simplify right side
    64,069x = 18,936,512,100
  5. Step 5: Solve for x
    x = 18,936,512,100/64,069
  6. Step 6: Final answer
    x = 295,564.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.