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Finding the Third Proportional to 102,153 and 216,593

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Solution

The third proportional to 102,153 and 216,593 is: 459,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,153 : 216,593 = 216,593 : x
  2. Step 2: Convert to fraction form
    102,153/216,593 = 216,593/x
  3. Step 3: Cross multiply
    102,153x = 216,593 × 216,593
  4. Step 4: Simplify right side
    102,153x = 46,912,527,649
  5. Step 5: Solve for x
    x = 46,912,527,649/102,153
  6. Step 6: Final answer
    x = 459,237.88

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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.