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Finding the Third Proportional to 49,186.50 and 69,165.75

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Solution

The third proportional to 49,186.50 and 69,165.75 is: 97,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,186.50 : 69,165.75 = 69,165.75 : x
  2. Step 2: Convert to fraction form
    49,186.50/69,165.75 = 69,165.75/x
  3. Step 3: Cross multiply
    49,186.50x = 69,165.75 × 69,165.75
  4. Step 4: Simplify right side
    49,186.50x = 4,783,900,973.06
  5. Step 5: Solve for x
    x = 4,783,900,973.06/49,186.50
  6. Step 6: Final answer
    x = 97,260.45

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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.