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Finding the Third Proportional to 91,761.50 and 129,222.75

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Solution

The third proportional to 91,761.50 and 129,222.75 is: 181,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,761.50 : 129,222.75 = 129,222.75 : x
  2. Step 2: Convert to fraction form
    91,761.50/129,222.75 = 129,222.75/x
  3. Step 3: Cross multiply
    91,761.50x = 129,222.75 × 129,222.75
  4. Step 4: Simplify right side
    91,761.50x = 16,698,519,117.56
  5. Step 5: Solve for x
    x = 16,698,519,117.56/91,761.50
  6. Step 6: Final answer
    x = 181,977.40

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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.