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Finding the Third Proportional to 30,124 and 64,905

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Solution

The third proportional to 30,124 and 64,905 is: 139,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,124 : 64,905 = 64,905 : x
  2. Step 2: Convert to fraction form
    30,124/64,905 = 64,905/x
  3. Step 3: Cross multiply
    30,124x = 64,905 × 64,905
  4. Step 4: Simplify right side
    30,124x = 4,212,659,025
  5. Step 5: Solve for x
    x = 4,212,659,025/30,124
  6. Step 6: Final answer
    x = 139,843.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.