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Finding the Third Proportional to 65,260 and 140,884

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Solution

The third proportional to 65,260 and 140,884 is: 304,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,260 : 140,884 = 140,884 : x
  2. Step 2: Convert to fraction form
    65,260/140,884 = 140,884/x
  3. Step 3: Cross multiply
    65,260x = 140,884 × 140,884
  4. Step 4: Simplify right side
    65,260x = 19,848,301,456
  5. Step 5: Solve for x
    x = 19,848,301,456/65,260
  6. Step 6: Final answer
    x = 304,141.92

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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.