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Finding the Third Proportional to 102,474 and 216,088

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Solution

The third proportional to 102,474 and 216,088 is: 455,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,474 : 216,088 = 216,088 : x
  2. Step 2: Convert to fraction form
    102,474/216,088 = 216,088/x
  3. Step 3: Cross multiply
    102,474x = 216,088 × 216,088
  4. Step 4: Simplify right side
    102,474x = 46,694,023,744
  5. Step 5: Solve for x
    x = 46,694,023,744/102,474
  6. Step 6: Final answer
    x = 455,667.03

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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.