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Finding the Third Proportional to 63,569 and 94,267

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Solution

The third proportional to 63,569 and 94,267 is: 139,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,569 : 94,267 = 94,267 : x
  2. Step 2: Convert to fraction form
    63,569/94,267 = 94,267/x
  3. Step 3: Cross multiply
    63,569x = 94,267 × 94,267
  4. Step 4: Simplify right side
    63,569x = 8,886,267,289
  5. Step 5: Solve for x
    x = 8,886,267,289/63,569
  6. Step 6: Final answer
    x = 139,789.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.