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Finding the Third Proportional to 57,324 and 118,668

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Solution

The third proportional to 57,324 and 118,668 is: 245,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,324 : 118,668 = 118,668 : x
  2. Step 2: Convert to fraction form
    57,324/118,668 = 118,668/x
  3. Step 3: Cross multiply
    57,324x = 118,668 × 118,668
  4. Step 4: Simplify right side
    57,324x = 14,082,094,224
  5. Step 5: Solve for x
    x = 14,082,094,224/57,324
  6. Step 6: Final answer
    x = 245,657.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.