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Finding the Third Proportional to 52,500 and 113,752

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Solution

The third proportional to 52,500 and 113,752 is: 246,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,500 : 113,752 = 113,752 : x
  2. Step 2: Convert to fraction form
    52,500/113,752 = 113,752/x
  3. Step 3: Cross multiply
    52,500x = 113,752 × 113,752
  4. Step 4: Simplify right side
    52,500x = 12,939,517,504
  5. Step 5: Solve for x
    x = 12,939,517,504/52,500
  6. Step 6: Final answer
    x = 246,467.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.