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Finding the Third Proportional to 114,072 and 177,600

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Solution

The third proportional to 114,072 and 177,600 is: 276,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,072 : 177,600 = 177,600 : x
  2. Step 2: Convert to fraction form
    114,072/177,600 = 177,600/x
  3. Step 3: Cross multiply
    114,072x = 177,600 × 177,600
  4. Step 4: Simplify right side
    114,072x = 31,541,760,000
  5. Step 5: Solve for x
    x = 31,541,760,000/114,072
  6. Step 6: Final answer
    x = 276,507.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.