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Finding the Third Proportional to 65,855 and 144,202

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Solution

The third proportional to 65,855 and 144,202 is: 315,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,855 : 144,202 = 144,202 : x
  2. Step 2: Convert to fraction form
    65,855/144,202 = 144,202/x
  3. Step 3: Cross multiply
    65,855x = 144,202 × 144,202
  4. Step 4: Simplify right side
    65,855x = 20,794,216,804
  5. Step 5: Solve for x
    x = 20,794,216,804/65,855
  6. Step 6: Final answer
    x = 315,757.60

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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.