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Finding the Third Proportional to 103,761 and 219,915

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Solution

The third proportional to 103,761 and 219,915 is: 466,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,761 : 219,915 = 219,915 : x
  2. Step 2: Convert to fraction form
    103,761/219,915 = 219,915/x
  3. Step 3: Cross multiply
    103,761x = 219,915 × 219,915
  4. Step 4: Simplify right side
    103,761x = 48,362,607,225
  5. Step 5: Solve for x
    x = 48,362,607,225/103,761
  6. Step 6: Final answer
    x = 466,096.19

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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.