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Finding the Third Proportional to 116,735 and 178,491

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Solution

The third proportional to 116,735 and 178,491 is: 272,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,735 : 178,491 = 178,491 : x
  2. Step 2: Convert to fraction form
    116,735/178,491 = 178,491/x
  3. Step 3: Cross multiply
    116,735x = 178,491 × 178,491
  4. Step 4: Simplify right side
    116,735x = 31,859,037,081
  5. Step 5: Solve for x
    x = 31,859,037,081/116,735
  6. Step 6: Final answer
    x = 272,917.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.