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Finding the Third Proportional to 71,523.75 and 105,096

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Solution

The third proportional to 71,523.75 and 105,096 is: 154,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,523.75 : 105,096 = 105,096 : x
  2. Step 2: Convert to fraction form
    71,523.75/105,096 = 105,096/x
  3. Step 3: Cross multiply
    71,523.75x = 105,096 × 105,096
  4. Step 4: Simplify right side
    71,523.75x = 11,045,169,216
  5. Step 5: Solve for x
    x = 11,045,169,216/71,523.75
  6. Step 6: Final answer
    x = 154,426.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.