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Finding the Third Proportional to 75,932 and 177,410

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Solution

The third proportional to 75,932 and 177,410 is: 414,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,932 : 177,410 = 177,410 : x
  2. Step 2: Convert to fraction form
    75,932/177,410 = 177,410/x
  3. Step 3: Cross multiply
    75,932x = 177,410 × 177,410
  4. Step 4: Simplify right side
    75,932x = 31,474,308,100
  5. Step 5: Solve for x
    x = 31,474,308,100/75,932
  6. Step 6: Final answer
    x = 414,506.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.