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Finding the Third Proportional to 65,466 and 141,381

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Solution

The third proportional to 65,466 and 141,381 is: 305,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,466 : 141,381 = 141,381 : x
  2. Step 2: Convert to fraction form
    65,466/141,381 = 141,381/x
  3. Step 3: Cross multiply
    65,466x = 141,381 × 141,381
  4. Step 4: Simplify right side
    65,466x = 19,988,587,161
  5. Step 5: Solve for x
    x = 19,988,587,161/65,466
  6. Step 6: Final answer
    x = 305,327.76

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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.