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Finding the Third Proportional to 87,512.63 and 178,720.88

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Solution

The third proportional to 87,512.63 and 178,720.88 is: 364,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,512.63 : 178,720.88 = 178,720.88 : x
  2. Step 2: Convert to fraction form
    87,512.63/178,720.88 = 178,720.88/x
  3. Step 3: Cross multiply
    87,512.63x = 178,720.88 × 178,720.88
  4. Step 4: Simplify right side
    87,512.63x = 31,941,151,160.77
  5. Step 5: Solve for x
    x = 31,941,151,160.77/87,512.63
  6. Step 6: Final answer
    x = 364,989.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.