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Finding the Third Proportional to 63,596 and 100,686

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Solution

The third proportional to 63,596 and 100,686 is: 159,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,596 : 100,686 = 100,686 : x
  2. Step 2: Convert to fraction form
    63,596/100,686 = 100,686/x
  3. Step 3: Cross multiply
    63,596x = 100,686 × 100,686
  4. Step 4: Simplify right side
    63,596x = 10,137,670,596
  5. Step 5: Solve for x
    x = 10,137,670,596/63,596
  6. Step 6: Final answer
    x = 159,407.36

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.