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Finding the Third Proportional to 68,520.63 and 165,073.88

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Solution

The third proportional to 68,520.63 and 165,073.88 is: 397,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,520.63 : 165,073.88 = 165,073.88 : x
  2. Step 2: Convert to fraction form
    68,520.63/165,073.88 = 165,073.88/x
  3. Step 3: Cross multiply
    68,520.63x = 165,073.88 × 165,073.88
  4. Step 4: Simplify right side
    68,520.63x = 27,249,384,207.52
  5. Step 5: Solve for x
    x = 27,249,384,207.52/68,520.63
  6. Step 6: Final answer
    x = 397,681.49

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.