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Finding the Third Proportional to 59,328 and 94,267

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Solution

The third proportional to 59,328 and 94,267 is: 149,782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,328 : 94,267 = 94,267 : x
  2. Step 2: Convert to fraction form
    59,328/94,267 = 94,267/x
  3. Step 3: Cross multiply
    59,328x = 94,267 × 94,267
  4. Step 4: Simplify right side
    59,328x = 8,886,267,289
  5. Step 5: Solve for x
    x = 8,886,267,289/59,328
  6. Step 6: Final answer
    x = 149,782.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.