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Finding the Third Proportional to 63,822 and 138,835

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Solution

The third proportional to 63,822 and 138,835 is: 302,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,822 : 138,835 = 138,835 : x
  2. Step 2: Convert to fraction form
    63,822/138,835 = 138,835/x
  3. Step 3: Cross multiply
    63,822x = 138,835 × 138,835
  4. Step 4: Simplify right side
    63,822x = 19,275,157,225
  5. Step 5: Solve for x
    x = 19,275,157,225/63,822
  6. Step 6: Final answer
    x = 302,014.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.