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Finding the Third Proportional to 63,225 and 135,468

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Solution

The third proportional to 63,225 and 135,468 is: 290,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,225 : 135,468 = 135,468 : x
  2. Step 2: Convert to fraction form
    63,225/135,468 = 135,468/x
  3. Step 3: Cross multiply
    63,225x = 135,468 × 135,468
  4. Step 4: Simplify right side
    63,225x = 18,351,579,024
  5. Step 5: Solve for x
    x = 18,351,579,024/63,225
  6. Step 6: Final answer
    x = 290,258.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.