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Finding the Third Proportional to 101,782 and 217,088

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Solution

The third proportional to 101,782 and 217,088 is: 463,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,782 : 217,088 = 217,088 : x
  2. Step 2: Convert to fraction form
    101,782/217,088 = 217,088/x
  3. Step 3: Cross multiply
    101,782x = 217,088 × 217,088
  4. Step 4: Simplify right side
    101,782x = 47,127,199,744
  5. Step 5: Solve for x
    x = 47,127,199,744/101,782
  6. Step 6: Final answer
    x = 463,020.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.