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Finding the Third Proportional to 139,968 and 217,082.53

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Solution

The third proportional to 139,968 and 217,082.53 is: 336,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968 : 217,082.53 = 217,082.53 : x
  2. Step 2: Convert to fraction form
    139,968/217,082.53 = 217,082.53/x
  3. Step 3: Cross multiply
    139,968x = 217,082.53 × 217,082.53
  4. Step 4: Simplify right side
    139,968x = 47,124,825,373.91
  5. Step 5: Solve for x
    x = 47,124,825,373.91/139,968
  6. Step 6: Final answer
    x = 336,682.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.