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Finding the Third Proportional to 32,506 and 67,195

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Solution

The third proportional to 32,506 and 67,195 is: 138,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506 : 67,195 = 67,195 : x
  2. Step 2: Convert to fraction form
    32,506/67,195 = 67,195/x
  3. Step 3: Cross multiply
    32,506x = 67,195 × 67,195
  4. Step 4: Simplify right side
    32,506x = 4,515,168,025
  5. Step 5: Solve for x
    x = 4,515,168,025/32,506
  6. Step 6: Final answer
    x = 138,902.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.