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Finding the Third Proportional to 65,372 and 141,112

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Solution

The third proportional to 65,372 and 141,112 is: 304,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,372 : 141,112 = 141,112 : x
  2. Step 2: Convert to fraction form
    65,372/141,112 = 141,112/x
  3. Step 3: Cross multiply
    65,372x = 141,112 × 141,112
  4. Step 4: Simplify right side
    65,372x = 19,912,596,544
  5. Step 5: Solve for x
    x = 19,912,596,544/65,372
  6. Step 6: Final answer
    x = 304,604.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.