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Finding the Third Proportional to 59,327 and 94,583

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Solution

The third proportional to 59,327 and 94,583 is: 150,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,327 : 94,583 = 94,583 : x
  2. Step 2: Convert to fraction form
    59,327/94,583 = 94,583/x
  3. Step 3: Cross multiply
    59,327x = 94,583 × 94,583
  4. Step 4: Simplify right side
    59,327x = 8,945,943,889
  5. Step 5: Solve for x
    x = 8,945,943,889/59,327
  6. Step 6: Final answer
    x = 150,790.43

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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.