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Finding the Third Proportional to 52,937 and 116,243

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Solution

The third proportional to 52,937 and 116,243 is: 255,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,937 : 116,243 = 116,243 : x
  2. Step 2: Convert to fraction form
    52,937/116,243 = 116,243/x
  3. Step 3: Cross multiply
    52,937x = 116,243 × 116,243
  4. Step 4: Simplify right side
    52,937x = 13,512,435,049
  5. Step 5: Solve for x
    x = 13,512,435,049/52,937
  6. Step 6: Final answer
    x = 255,255.02

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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.