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Finding the Third Proportional to 63,525 and 136,623

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Solution

The third proportional to 63,525 and 136,623 is: 293,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,525 : 136,623 = 136,623 : x
  2. Step 2: Convert to fraction form
    63,525/136,623 = 136,623/x
  3. Step 3: Cross multiply
    63,525x = 136,623 × 136,623
  4. Step 4: Simplify right side
    63,525x = 18,665,844,129
  5. Step 5: Solve for x
    x = 18,665,844,129/63,525
  6. Step 6: Final answer
    x = 293,834.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.