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Finding the Third Proportional to 103,655.25 and 217,755

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Solution

The third proportional to 103,655.25 and 217,755 is: 457,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,655.25 : 217,755 = 217,755 : x
  2. Step 2: Convert to fraction form
    103,655.25/217,755 = 217,755/x
  3. Step 3: Cross multiply
    103,655.25x = 217,755 × 217,755
  4. Step 4: Simplify right side
    103,655.25x = 47,417,240,025
  5. Step 5: Solve for x
    x = 47,417,240,025/103,655.25
  6. Step 6: Final answer
    x = 457,451.41

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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.