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Finding the Third Proportional to 71,754.13 and 156,425.63

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Solution

The third proportional to 71,754.13 and 156,425.63 is: 341,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,754.13 : 156,425.63 = 156,425.63 : x
  2. Step 2: Convert to fraction form
    71,754.13/156,425.63 = 156,425.63/x
  3. Step 3: Cross multiply
    71,754.13x = 156,425.63 × 156,425.63
  4. Step 4: Simplify right side
    71,754.13x = 24,468,976,156.64
  5. Step 5: Solve for x
    x = 24,468,976,156.64/71,754.13
  6. Step 6: Final answer
    x = 341,011.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.