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Finding the Third Proportional to 52,947 and 116,550

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Solution

The third proportional to 52,947 and 116,550 is: 256,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,947 : 116,550 = 116,550 : x
  2. Step 2: Convert to fraction form
    52,947/116,550 = 116,550/x
  3. Step 3: Cross multiply
    52,947x = 116,550 × 116,550
  4. Step 4: Simplify right side
    52,947x = 13,583,902,500
  5. Step 5: Solve for x
    x = 13,583,902,500/52,947
  6. Step 6: Final answer
    x = 256,556.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.