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Finding the Third Proportional to 67,519 and 145,426

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Solution

The third proportional to 67,519 and 145,426 is: 313,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,519 : 145,426 = 145,426 : x
  2. Step 2: Convert to fraction form
    67,519/145,426 = 145,426/x
  3. Step 3: Cross multiply
    67,519x = 145,426 × 145,426
  4. Step 4: Simplify right side
    67,519x = 21,148,721,476
  5. Step 5: Solve for x
    x = 21,148,721,476/67,519
  6. Step 6: Final answer
    x = 313,226.22

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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.