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Finding the Third Proportional to 65,069 and 135,786

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Solution

The third proportional to 65,069 and 135,786 is: 283,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,069 : 135,786 = 135,786 : x
  2. Step 2: Convert to fraction form
    65,069/135,786 = 135,786/x
  3. Step 3: Cross multiply
    65,069x = 135,786 × 135,786
  4. Step 4: Simplify right side
    65,069x = 18,437,837,796
  5. Step 5: Solve for x
    x = 18,437,837,796/65,069
  6. Step 6: Final answer
    x = 283,358.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.