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Finding the Third Proportional to 32,919 and 70,212

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Solution

The third proportional to 32,919 and 70,212 is: 149,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,919 : 70,212 = 70,212 : x
  2. Step 2: Convert to fraction form
    32,919/70,212 = 70,212/x
  3. Step 3: Cross multiply
    32,919x = 70,212 × 70,212
  4. Step 4: Simplify right side
    32,919x = 4,929,724,944
  5. Step 5: Solve for x
    x = 4,929,724,944/32,919
  6. Step 6: Final answer
    x = 149,753.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.