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Finding the Third Proportional to 63,510 and 135,456

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Solution

The third proportional to 63,510 and 135,456 is: 288,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,510 : 135,456 = 135,456 : x
  2. Step 2: Convert to fraction form
    63,510/135,456 = 135,456/x
  3. Step 3: Cross multiply
    63,510x = 135,456 × 135,456
  4. Step 4: Simplify right side
    63,510x = 18,348,327,936
  5. Step 5: Solve for x
    x = 18,348,327,936/63,510
  6. Step 6: Final answer
    x = 288,904.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.