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Finding the Third Proportional to 47,539 and 83,413

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Solution

The third proportional to 47,539 and 83,413 is: 146,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,539 : 83,413 = 83,413 : x
  2. Step 2: Convert to fraction form
    47,539/83,413 = 83,413/x
  3. Step 3: Cross multiply
    47,539x = 83,413 × 83,413
  4. Step 4: Simplify right side
    47,539x = 6,957,728,569
  5. Step 5: Solve for x
    x = 6,957,728,569/47,539
  6. Step 6: Final answer
    x = 146,358.33

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.