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Finding the Third Proportional to 51,037 and 109,452.50

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Solution

The third proportional to 51,037 and 109,452.50 is: 234,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,037 : 109,452.50 = 109,452.50 : x
  2. Step 2: Convert to fraction form
    51,037/109,452.50 = 109,452.50/x
  3. Step 3: Cross multiply
    51,037x = 109,452.50 × 109,452.50
  4. Step 4: Simplify right side
    51,037x = 11,979,849,756.25
  5. Step 5: Solve for x
    x = 11,979,849,756.25/51,037
  6. Step 6: Final answer
    x = 234,728.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.