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Finding the Third Proportional to 102,576 and 157,456

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Solution

The third proportional to 102,576 and 157,456 is: 241,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,576 : 157,456 = 157,456 : x
  2. Step 2: Convert to fraction form
    102,576/157,456 = 157,456/x
  3. Step 3: Cross multiply
    102,576x = 157,456 × 157,456
  4. Step 4: Simplify right side
    102,576x = 24,792,391,936
  5. Step 5: Solve for x
    x = 24,792,391,936/102,576
  6. Step 6: Final answer
    x = 241,697.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.