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Finding the Third Proportional to 32,049 and 70,137

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Solution

The third proportional to 32,049 and 70,137 is: 153,489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049 : 70,137 = 70,137 : x
  2. Step 2: Convert to fraction form
    32,049/70,137 = 70,137/x
  3. Step 3: Cross multiply
    32,049x = 70,137 × 70,137
  4. Step 4: Simplify right side
    32,049x = 4,919,198,769
  5. Step 5: Solve for x
    x = 4,919,198,769/32,049
  6. Step 6: Final answer
    x = 153,489.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.