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Finding the Third Proportional to 117,936 and 176,472

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Solution

The third proportional to 117,936 and 176,472 is: 264,061.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,936 : 176,472 = 176,472 : x
  2. Step 2: Convert to fraction form
    117,936/176,472 = 176,472/x
  3. Step 3: Cross multiply
    117,936x = 176,472 × 176,472
  4. Step 4: Simplify right side
    117,936x = 31,142,366,784
  5. Step 5: Solve for x
    x = 31,142,366,784/117,936
  6. Step 6: Final answer
    x = 264,061.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.