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Finding the Third Proportional to 116,972 and 167,275

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Solution

The third proportional to 116,972 and 167,275 is: 239,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,972 : 167,275 = 167,275 : x
  2. Step 2: Convert to fraction form
    116,972/167,275 = 167,275/x
  3. Step 3: Cross multiply
    116,972x = 167,275 × 167,275
  4. Step 4: Simplify right side
    116,972x = 27,980,925,625
  5. Step 5: Solve for x
    x = 27,980,925,625/116,972
  6. Step 6: Final answer
    x = 239,210.46

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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.