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Finding the Third Proportional to 32,506 and 69,926

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Solution

The third proportional to 32,506 and 69,926 is: 150,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506 : 69,926 = 69,926 : x
  2. Step 2: Convert to fraction form
    32,506/69,926 = 69,926/x
  3. Step 3: Cross multiply
    32,506x = 69,926 × 69,926
  4. Step 4: Simplify right side
    32,506x = 4,889,645,476
  5. Step 5: Solve for x
    x = 4,889,645,476/32,506
  6. Step 6: Final answer
    x = 150,422.86

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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.