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Finding the Third Proportional to 54,306 and 114,436

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Solution

The third proportional to 54,306 and 114,436 is: 241,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,306 : 114,436 = 114,436 : x
  2. Step 2: Convert to fraction form
    54,306/114,436 = 114,436/x
  3. Step 3: Cross multiply
    54,306x = 114,436 × 114,436
  4. Step 4: Simplify right side
    54,306x = 13,095,598,096
  5. Step 5: Solve for x
    x = 13,095,598,096/54,306
  6. Step 6: Final answer
    x = 241,144.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.