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Finding the Third Proportional to 63,522 and 136,614

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Solution

The third proportional to 63,522 and 136,614 is: 293,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,522 : 136,614 = 136,614 : x
  2. Step 2: Convert to fraction form
    63,522/136,614 = 136,614/x
  3. Step 3: Cross multiply
    63,522x = 136,614 × 136,614
  4. Step 4: Simplify right side
    63,522x = 18,663,384,996
  5. Step 5: Solve for x
    x = 18,663,384,996/63,522
  6. Step 6: Final answer
    x = 293,809.78

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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.