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Finding the Third Proportional to 114,100 and 235,472

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Solution

The third proportional to 114,100 and 235,472 is: 485,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,100 : 235,472 = 235,472 : x
  2. Step 2: Convert to fraction form
    114,100/235,472 = 235,472/x
  3. Step 3: Cross multiply
    114,100x = 235,472 × 235,472
  4. Step 4: Simplify right side
    114,100x = 55,447,062,784
  5. Step 5: Solve for x
    x = 55,447,062,784/114,100
  6. Step 6: Final answer
    x = 485,951.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.