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Finding the Third Proportional to 65,512 and 141,368

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Solution

The third proportional to 65,512 and 141,368 is: 305,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,512 : 141,368 = 141,368 : x
  2. Step 2: Convert to fraction form
    65,512/141,368 = 141,368/x
  3. Step 3: Cross multiply
    65,512x = 141,368 × 141,368
  4. Step 4: Simplify right side
    65,512x = 19,984,911,424
  5. Step 5: Solve for x
    x = 19,984,911,424/65,512
  6. Step 6: Final answer
    x = 305,057.26

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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.