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Finding the Third Proportional to 118,708.50 and 252,861

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Solution

The third proportional to 118,708.50 and 252,861 is: 538,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,708.50 : 252,861 = 252,861 : x
  2. Step 2: Convert to fraction form
    118,708.50/252,861 = 252,861/x
  3. Step 3: Cross multiply
    118,708.50x = 252,861 × 252,861
  4. Step 4: Simplify right side
    118,708.50x = 63,938,685,321
  5. Step 5: Solve for x
    x = 63,938,685,321/118,708.50
  6. Step 6: Final answer
    x = 538,619.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.