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Finding the Third Proportional to 91,764.75 and 129,224.50

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Solution

The third proportional to 91,764.75 and 129,224.50 is: 181,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,764.75 : 129,224.50 = 129,224.50 : x
  2. Step 2: Convert to fraction form
    91,764.75/129,224.50 = 129,224.50/x
  3. Step 3: Cross multiply
    91,764.75x = 129,224.50 × 129,224.50
  4. Step 4: Simplify right side
    91,764.75x = 16,698,971,400.25
  5. Step 5: Solve for x
    x = 16,698,971,400.25/91,764.75
  6. Step 6: Final answer
    x = 181,975.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.