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Finding the Third Proportional to 67,515 and 145,418

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Solution

The third proportional to 67,515 and 145,418 is: 313,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,515 : 145,418 = 145,418 : x
  2. Step 2: Convert to fraction form
    67,515/145,418 = 145,418/x
  3. Step 3: Cross multiply
    67,515x = 145,418 × 145,418
  4. Step 4: Simplify right side
    67,515x = 21,146,394,724
  5. Step 5: Solve for x
    x = 21,146,394,724/67,515
  6. Step 6: Final answer
    x = 313,210.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.