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Finding the Third Proportional to 123,555.88 and 271,168.63

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Solution

The third proportional to 123,555.88 and 271,168.63 is: 595,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,555.88 : 271,168.63 = 271,168.63 : x
  2. Step 2: Convert to fraction form
    123,555.88/271,168.63 = 271,168.63/x
  3. Step 3: Cross multiply
    123,555.88x = 271,168.63 × 271,168.63
  4. Step 4: Simplify right side
    123,555.88x = 73,532,423,184.39
  5. Step 5: Solve for x
    x = 73,532,423,184.39/123,555.88
  6. Step 6: Final answer
    x = 595,134.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.