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Finding the Third Proportional to 102,496 and 217,152

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Solution

The third proportional to 102,496 and 217,152 is: 460,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,496 : 217,152 = 217,152 : x
  2. Step 2: Convert to fraction form
    102,496/217,152 = 217,152/x
  3. Step 3: Cross multiply
    102,496x = 217,152 × 217,152
  4. Step 4: Simplify right side
    102,496x = 47,154,991,104
  5. Step 5: Solve for x
    x = 47,154,991,104/102,496
  6. Step 6: Final answer
    x = 460,066.65

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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.