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Finding the Third Proportional to 63,620 and 83,686

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Solution

The third proportional to 63,620 and 83,686 is: 110,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,620 : 83,686 = 83,686 : x
  2. Step 2: Convert to fraction form
    63,620/83,686 = 83,686/x
  3. Step 3: Cross multiply
    63,620x = 83,686 × 83,686
  4. Step 4: Simplify right side
    63,620x = 7,003,346,596
  5. Step 5: Solve for x
    x = 7,003,346,596/63,620
  6. Step 6: Final answer
    x = 110,080.90

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.