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Finding the Third Proportional to 117,972 and 176,634

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Solution

The third proportional to 117,972 and 176,634 is: 264,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,972 : 176,634 = 176,634 : x
  2. Step 2: Convert to fraction form
    117,972/176,634 = 176,634/x
  3. Step 3: Cross multiply
    117,972x = 176,634 × 176,634
  4. Step 4: Simplify right side
    117,972x = 31,199,569,956
  5. Step 5: Solve for x
    x = 31,199,569,956/117,972
  6. Step 6: Final answer
    x = 264,465.89

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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.