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Finding the Third Proportional to 133,897.50 and 190,356.75

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Solution

The third proportional to 133,897.50 and 190,356.75 is: 270,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,897.50 : 190,356.75 = 190,356.75 : x
  2. Step 2: Convert to fraction form
    133,897.50/190,356.75 = 190,356.75/x
  3. Step 3: Cross multiply
    133,897.50x = 190,356.75 × 190,356.75
  4. Step 4: Simplify right side
    133,897.50x = 36,235,692,270.56
  5. Step 5: Solve for x
    x = 36,235,692,270.56/133,897.50
  6. Step 6: Final answer
    x = 270,622.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.