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Finding the Third Proportional to 113,898 and 174,295

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Solution

The third proportional to 113,898 and 174,295 is: 266,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,898 : 174,295 = 174,295 : x
  2. Step 2: Convert to fraction form
    113,898/174,295 = 174,295/x
  3. Step 3: Cross multiply
    113,898x = 174,295 × 174,295
  4. Step 4: Simplify right side
    113,898x = 30,378,747,025
  5. Step 5: Solve for x
    x = 30,378,747,025/113,898
  6. Step 6: Final answer
    x = 266,718.88

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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.