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Finding the Third Proportional to 32,361 and 69,221

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Solution

The third proportional to 32,361 and 69,221 is: 148,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,361 : 69,221 = 69,221 : x
  2. Step 2: Convert to fraction form
    32,361/69,221 = 69,221/x
  3. Step 3: Cross multiply
    32,361x = 69,221 × 69,221
  4. Step 4: Simplify right side
    32,361x = 4,791,546,841
  5. Step 5: Solve for x
    x = 4,791,546,841/32,361
  6. Step 6: Final answer
    x = 148,065.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.