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Finding the Third Proportional to 65,326 and 143,102

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Solution

The third proportional to 65,326 and 143,102 is: 313,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,326 : 143,102 = 143,102 : x
  2. Step 2: Convert to fraction form
    65,326/143,102 = 143,102/x
  3. Step 3: Cross multiply
    65,326x = 143,102 × 143,102
  4. Step 4: Simplify right side
    65,326x = 20,478,182,404
  5. Step 5: Solve for x
    x = 20,478,182,404/65,326
  6. Step 6: Final answer
    x = 313,476.75

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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.