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Finding the Third Proportional to 52,482 and 114,660

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Solution

The third proportional to 52,482 and 114,660 is: 250,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,482 : 114,660 = 114,660 : x
  2. Step 2: Convert to fraction form
    52,482/114,660 = 114,660/x
  3. Step 3: Cross multiply
    52,482x = 114,660 × 114,660
  4. Step 4: Simplify right side
    52,482x = 13,146,915,600
  5. Step 5: Solve for x
    x = 13,146,915,600/52,482
  6. Step 6: Final answer
    x = 250,503.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.