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Finding the Third Proportional to 39,516 and 93,279

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Solution

The third proportional to 39,516 and 93,279 is: 220,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,516 : 93,279 = 93,279 : x
  2. Step 2: Convert to fraction form
    39,516/93,279 = 93,279/x
  3. Step 3: Cross multiply
    39,516x = 93,279 × 93,279
  4. Step 4: Simplify right side
    39,516x = 8,700,971,841
  5. Step 5: Solve for x
    x = 8,700,971,841/39,516
  6. Step 6: Final answer
    x = 220,188.58

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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.