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Finding the Third Proportional to 117,564 and 167,958

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Solution

The third proportional to 117,564 and 167,958 is: 239,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,564 : 167,958 = 167,958 : x
  2. Step 2: Convert to fraction form
    117,564/167,958 = 167,958/x
  3. Step 3: Cross multiply
    117,564x = 167,958 × 167,958
  4. Step 4: Simplify right side
    117,564x = 28,209,889,764
  5. Step 5: Solve for x
    x = 28,209,889,764/117,564
  6. Step 6: Final answer
    x = 239,953.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.