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Finding the Third Proportional to 65,656 and 143,191

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Solution

The third proportional to 65,656 and 143,191 is: 312,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,656 : 143,191 = 143,191 : x
  2. Step 2: Convert to fraction form
    65,656/143,191 = 143,191/x
  3. Step 3: Cross multiply
    65,656x = 143,191 × 143,191
  4. Step 4: Simplify right side
    65,656x = 20,503,662,481
  5. Step 5: Solve for x
    x = 20,503,662,481/65,656
  6. Step 6: Final answer
    x = 312,289.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.