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Finding the Third Proportional to 117,672 and 177,596

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Solution

The third proportional to 117,672 and 177,596 is: 268,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,672 : 177,596 = 177,596 : x
  2. Step 2: Convert to fraction form
    117,672/177,596 = 177,596/x
  3. Step 3: Cross multiply
    117,672x = 177,596 × 177,596
  4. Step 4: Simplify right side
    117,672x = 31,540,339,216
  5. Step 5: Solve for x
    x = 31,540,339,216/117,672
  6. Step 6: Final answer
    x = 268,036.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.