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Finding the Third Proportional to 101,424.75 and 157,665

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Solution

The third proportional to 101,424.75 and 157,665 is: 245,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,424.75 : 157,665 = 157,665 : x
  2. Step 2: Convert to fraction form
    101,424.75/157,665 = 157,665/x
  3. Step 3: Cross multiply
    101,424.75x = 157,665 × 157,665
  4. Step 4: Simplify right side
    101,424.75x = 24,858,252,225
  5. Step 5: Solve for x
    x = 24,858,252,225/101,424.75
  6. Step 6: Final answer
    x = 245,090.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.