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Finding the Third Proportional to 65,080.13 and 131,970.94

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Solution

The third proportional to 65,080.13 and 131,970.94 is: 267,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,080.13 : 131,970.94 = 131,970.94 : x
  2. Step 2: Convert to fraction form
    65,080.13/131,970.94 = 131,970.94/x
  3. Step 3: Cross multiply
    65,080.13x = 131,970.94 × 131,970.94
  4. Step 4: Simplify right side
    65,080.13x = 17,416,328,344.63
  5. Step 5: Solve for x
    x = 17,416,328,344.63/65,080.13
  6. Step 6: Final answer
    x = 267,613.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.