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Finding the Third Proportional to 39,519 and 93,289.50

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Solution

The third proportional to 39,519 and 93,289.50 is: 220,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,519 : 93,289.50 = 93,289.50 : x
  2. Step 2: Convert to fraction form
    39,519/93,289.50 = 93,289.50/x
  3. Step 3: Cross multiply
    39,519x = 93,289.50 × 93,289.50
  4. Step 4: Simplify right side
    39,519x = 8,702,930,810.25
  5. Step 5: Solve for x
    x = 8,702,930,810.25/39,519
  6. Step 6: Final answer
    x = 220,221.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.