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Finding the Third Proportional to 52,831 and 116,030

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Solution

The third proportional to 52,831 and 116,030 is: 254,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,831 : 116,030 = 116,030 : x
  2. Step 2: Convert to fraction form
    52,831/116,030 = 116,030/x
  3. Step 3: Cross multiply
    52,831x = 116,030 × 116,030
  4. Step 4: Simplify right side
    52,831x = 13,462,960,900
  5. Step 5: Solve for x
    x = 13,462,960,900/52,831
  6. Step 6: Final answer
    x = 254,830.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.