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Finding the Third Proportional to 32,098 and 69,271

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Solution

The third proportional to 32,098 and 69,271 is: 149,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098 : 69,271 = 69,271 : x
  2. Step 2: Convert to fraction form
    32,098/69,271 = 69,271/x
  3. Step 3: Cross multiply
    32,098x = 69,271 × 69,271
  4. Step 4: Simplify right side
    32,098x = 4,798,471,441
  5. Step 5: Solve for x
    x = 4,798,471,441/32,098
  6. Step 6: Final answer
    x = 149,494.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.