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Finding the Third Proportional to 113,716 and 177,984

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Solution

The third proportional to 113,716 and 177,984 is: 278,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,716 : 177,984 = 177,984 : x
  2. Step 2: Convert to fraction form
    113,716/177,984 = 177,984/x
  3. Step 3: Cross multiply
    113,716x = 177,984 × 177,984
  4. Step 4: Simplify right side
    113,716x = 31,678,304,256
  5. Step 5: Solve for x
    x = 31,678,304,256/113,716
  6. Step 6: Final answer
    x = 278,573.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.