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Finding the Third Proportional to 135,964.50 and 254,372

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Solution

The third proportional to 135,964.50 and 254,372 is: 475,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,964.50 : 254,372 = 254,372 : x
  2. Step 2: Convert to fraction form
    135,964.50/254,372 = 254,372/x
  3. Step 3: Cross multiply
    135,964.50x = 254,372 × 254,372
  4. Step 4: Simplify right side
    135,964.50x = 64,705,114,384
  5. Step 5: Solve for x
    x = 64,705,114,384/135,964.50
  6. Step 6: Final answer
    x = 475,897.12

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.