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Finding the Third Proportional to 52,350 and 114,477

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Solution

The third proportional to 52,350 and 114,477 is: 250,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,350 : 114,477 = 114,477 : x
  2. Step 2: Convert to fraction form
    52,350/114,477 = 114,477/x
  3. Step 3: Cross multiply
    52,350x = 114,477 × 114,477
  4. Step 4: Simplify right side
    52,350x = 13,104,983,529
  5. Step 5: Solve for x
    x = 13,104,983,529/52,350
  6. Step 6: Final answer
    x = 250,333.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.