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Finding the Third Proportional to 91,173.94 and 122,740.31

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Solution

The third proportional to 91,173.94 and 122,740.31 is: 165,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,173.94 : 122,740.31 = 122,740.31 : x
  2. Step 2: Convert to fraction form
    91,173.94/122,740.31 = 122,740.31/x
  3. Step 3: Cross multiply
    91,173.94x = 122,740.31 × 122,740.31
  4. Step 4: Simplify right side
    91,173.94x = 15,065,184,312.60
  5. Step 5: Solve for x
    x = 15,065,184,312.60/91,173.94
  6. Step 6: Final answer
    x = 165,235.64

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.