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Finding the Third Proportional to 89,059.50 and 127,572.75

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Solution

The third proportional to 89,059.50 and 127,572.75 is: 182,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,059.50 : 127,572.75 = 127,572.75 : x
  2. Step 2: Convert to fraction form
    89,059.50/127,572.75 = 127,572.75/x
  3. Step 3: Cross multiply
    89,059.50x = 127,572.75 × 127,572.75
  4. Step 4: Simplify right side
    89,059.50x = 16,274,806,542.56
  5. Step 5: Solve for x
    x = 16,274,806,542.56/89,059.50
  6. Step 6: Final answer
    x = 182,740.83

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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.