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Finding the Third Proportional to 63,226 and 145,996

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Solution

The third proportional to 63,226 and 145,996 is: 337,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,226 : 145,996 = 145,996 : x
  2. Step 2: Convert to fraction form
    63,226/145,996 = 145,996/x
  3. Step 3: Cross multiply
    63,226x = 145,996 × 145,996
  4. Step 4: Simplify right side
    63,226x = 21,314,832,016
  5. Step 5: Solve for x
    x = 21,314,832,016/63,226
  6. Step 6: Final answer
    x = 337,121.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.