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Finding the Third Proportional to 102,027 and 216,405

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Solution

The third proportional to 102,027 and 216,405 is: 459,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,027 : 216,405 = 216,405 : x
  2. Step 2: Convert to fraction form
    102,027/216,405 = 216,405/x
  3. Step 3: Cross multiply
    102,027x = 216,405 × 216,405
  4. Step 4: Simplify right side
    102,027x = 46,831,124,025
  5. Step 5: Solve for x
    x = 46,831,124,025/102,027
  6. Step 6: Final answer
    x = 459,007.17

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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.