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Finding the Third Proportional to 133,039.88 and 191,253.75

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Solution

The third proportional to 133,039.88 and 191,253.75 is: 274,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,039.88 : 191,253.75 = 191,253.75 : x
  2. Step 2: Convert to fraction form
    133,039.88/191,253.75 = 191,253.75/x
  3. Step 3: Cross multiply
    133,039.88x = 191,253.75 × 191,253.75
  4. Step 4: Simplify right side
    133,039.88x = 36,577,996,889.06
  5. Step 5: Solve for x
    x = 36,577,996,889.06/133,039.88
  6. Step 6: Final answer
    x = 274,940.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.