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Finding the Third Proportional to 55,082 and 74,318.50

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Solution

The third proportional to 55,082 and 74,318.50 is: 100,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,082 : 74,318.50 = 74,318.50 : x
  2. Step 2: Convert to fraction form
    55,082/74,318.50 = 74,318.50/x
  3. Step 3: Cross multiply
    55,082x = 74,318.50 × 74,318.50
  4. Step 4: Simplify right side
    55,082x = 5,523,239,442.25
  5. Step 5: Solve for x
    x = 5,523,239,442.25/55,082
  6. Step 6: Final answer
    x = 100,273.04

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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.