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Finding the Third Proportional to 32,466 and 69,116

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Solution

The third proportional to 32,466 and 69,116 is: 147,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466 : 69,116 = 69,116 : x
  2. Step 2: Convert to fraction form
    32,466/69,116 = 69,116/x
  3. Step 3: Cross multiply
    32,466x = 69,116 × 69,116
  4. Step 4: Simplify right side
    32,466x = 4,777,021,456
  5. Step 5: Solve for x
    x = 4,777,021,456/32,466
  6. Step 6: Final answer
    x = 147,139.21

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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.