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Finding the Third Proportional to 91,762.25 and 129,220.75

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Solution

The third proportional to 91,762.25 and 129,220.75 is: 181,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,762.25 : 129,220.75 = 129,220.75 : x
  2. Step 2: Convert to fraction form
    91,762.25/129,220.75 = 129,220.75/x
  3. Step 3: Cross multiply
    91,762.25x = 129,220.75 × 129,220.75
  4. Step 4: Simplify right side
    91,762.25x = 16,698,002,230.56
  5. Step 5: Solve for x
    x = 16,698,002,230.56/91,762.25
  6. Step 6: Final answer
    x = 181,970.28

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