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Finding the Third Proportional to 133,267.50 and 190,572.75

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Solution

The third proportional to 133,267.50 and 190,572.75 is: 272,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,267.50 : 190,572.75 = 190,572.75 : x
  2. Step 2: Convert to fraction form
    133,267.50/190,572.75 = 190,572.75/x
  3. Step 3: Cross multiply
    133,267.50x = 190,572.75 × 190,572.75
  4. Step 4: Simplify right side
    133,267.50x = 36,317,973,042.56
  5. Step 5: Solve for x
    x = 36,317,973,042.56/133,267.50
  6. Step 6: Final answer
    x = 272,519.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.