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Finding the Third Proportional to 103,048 and 217,165

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Solution

The third proportional to 103,048 and 217,165 is: 457,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,048 : 217,165 = 217,165 : x
  2. Step 2: Convert to fraction form
    103,048/217,165 = 217,165/x
  3. Step 3: Cross multiply
    103,048x = 217,165 × 217,165
  4. Step 4: Simplify right side
    103,048x = 47,160,637,225
  5. Step 5: Solve for x
    x = 47,160,637,225/103,048
  6. Step 6: Final answer
    x = 457,656.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.