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Finding the Third Proportional to 102,541 and 215,450

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Solution

The third proportional to 102,541 and 215,450 is: 452,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,541 : 215,450 = 215,450 : x
  2. Step 2: Convert to fraction form
    102,541/215,450 = 215,450/x
  3. Step 3: Cross multiply
    102,541x = 215,450 × 215,450
  4. Step 4: Simplify right side
    102,541x = 46,418,702,500
  5. Step 5: Solve for x
    x = 46,418,702,500/102,541
  6. Step 6: Final answer
    x = 452,684.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.