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Finding the Third Proportional to 117,472 and 189,148

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Solution

The third proportional to 117,472 and 189,148 is: 304,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,472 : 189,148 = 189,148 : x
  2. Step 2: Convert to fraction form
    117,472/189,148 = 189,148/x
  3. Step 3: Cross multiply
    117,472x = 189,148 × 189,148
  4. Step 4: Simplify right side
    117,472x = 35,776,965,904
  5. Step 5: Solve for x
    x = 35,776,965,904/117,472
  6. Step 6: Final answer
    x = 304,557.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.