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Finding the Third Proportional to 63,102 and 133,996

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Solution

The third proportional to 63,102 and 133,996 is: 284,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,102 : 133,996 = 133,996 : x
  2. Step 2: Convert to fraction form
    63,102/133,996 = 133,996/x
  3. Step 3: Cross multiply
    63,102x = 133,996 × 133,996
  4. Step 4: Simplify right side
    63,102x = 17,954,928,016
  5. Step 5: Solve for x
    x = 17,954,928,016/63,102
  6. Step 6: Final answer
    x = 284,538.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.