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Finding the Third Proportional to 67,513 and 145,413

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Solution

The third proportional to 67,513 and 145,413 is: 313,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,513 : 145,413 = 145,413 : x
  2. Step 2: Convert to fraction form
    67,513/145,413 = 145,413/x
  3. Step 3: Cross multiply
    67,513x = 145,413 × 145,413
  4. Step 4: Simplify right side
    67,513x = 21,144,940,569
  5. Step 5: Solve for x
    x = 21,144,940,569/67,513
  6. Step 6: Final answer
    x = 313,198.06

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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.