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Finding the Third Proportional to 65,380 and 141,132

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Solution

The third proportional to 65,380 and 141,132 is: 304,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,380 : 141,132 = 141,132 : x
  2. Step 2: Convert to fraction form
    65,380/141,132 = 141,132/x
  3. Step 3: Cross multiply
    65,380x = 141,132 × 141,132
  4. Step 4: Simplify right side
    65,380x = 19,918,241,424
  5. Step 5: Solve for x
    x = 19,918,241,424/65,380
  6. Step 6: Final answer
    x = 304,653.43

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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.