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Finding the Third Proportional to 52,583 and 113,645

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Solution

The third proportional to 52,583 and 113,645 is: 245,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,583 : 113,645 = 113,645 : x
  2. Step 2: Convert to fraction form
    52,583/113,645 = 113,645/x
  3. Step 3: Cross multiply
    52,583x = 113,645 × 113,645
  4. Step 4: Simplify right side
    52,583x = 12,915,186,025
  5. Step 5: Solve for x
    x = 12,915,186,025/52,583
  6. Step 6: Final answer
    x = 245,615.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.