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Finding the Third Proportional to 100,536 and 155,772

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Solution

The third proportional to 100,536 and 155,772 is: 241,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,536 : 155,772 = 155,772 : x
  2. Step 2: Convert to fraction form
    100,536/155,772 = 155,772/x
  3. Step 3: Cross multiply
    100,536x = 155,772 × 155,772
  4. Step 4: Simplify right side
    100,536x = 24,264,915,984
  5. Step 5: Solve for x
    x = 24,264,915,984/100,536
  6. Step 6: Final answer
    x = 241,355.49

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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.