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Finding the Third Proportional to 32,136 and 66,322

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Solution

The third proportional to 32,136 and 66,322 is: 136,874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136 : 66,322 = 66,322 : x
  2. Step 2: Convert to fraction form
    32,136/66,322 = 66,322/x
  3. Step 3: Cross multiply
    32,136x = 66,322 × 66,322
  4. Step 4: Simplify right side
    32,136x = 4,398,607,684
  5. Step 5: Solve for x
    x = 4,398,607,684/32,136
  6. Step 6: Final answer
    x = 136,874.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.