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Finding the Third Proportional to 116,966.53 and 167,267.53

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Solution

The third proportional to 116,966.53 and 167,267.53 is: 239,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,966.53 : 167,267.53 = 167,267.53 : x
  2. Step 2: Convert to fraction form
    116,966.53/167,267.53 = 167,267.53/x
  3. Step 3: Cross multiply
    116,966.53x = 167,267.53 × 167,267.53
  4. Step 4: Simplify right side
    116,966.53x = 27,978,427,010.47
  5. Step 5: Solve for x
    x = 27,978,427,010.47/116,966.53
  6. Step 6: Final answer
    x = 239,200.28

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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.