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Finding the Third Proportional to 63,550 and 135,822

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Solution

The third proportional to 63,550 and 135,822 is: 290,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,550 : 135,822 = 135,822 : x
  2. Step 2: Convert to fraction form
    63,550/135,822 = 135,822/x
  3. Step 3: Cross multiply
    63,550x = 135,822 × 135,822
  4. Step 4: Simplify right side
    63,550x = 18,447,615,684
  5. Step 5: Solve for x
    x = 18,447,615,684/63,550
  6. Step 6: Final answer
    x = 290,285.06

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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.