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Finding the Third Proportional to 102,476 and 217,096

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Solution

The third proportional to 102,476 and 217,096 is: 459,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,476 : 217,096 = 217,096 : x
  2. Step 2: Convert to fraction form
    102,476/217,096 = 217,096/x
  3. Step 3: Cross multiply
    102,476x = 217,096 × 217,096
  4. Step 4: Simplify right side
    102,476x = 47,130,673,216
  5. Step 5: Solve for x
    x = 47,130,673,216/102,476
  6. Step 6: Final answer
    x = 459,919.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.