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Finding the Third Proportional to 32,296 and 68,506

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Solution

The third proportional to 32,296 and 68,506 is: 145,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296 : 68,506 = 68,506 : x
  2. Step 2: Convert to fraction form
    32,296/68,506 = 68,506/x
  3. Step 3: Cross multiply
    32,296x = 68,506 × 68,506
  4. Step 4: Simplify right side
    32,296x = 4,693,072,036
  5. Step 5: Solve for x
    x = 4,693,072,036/32,296
  6. Step 6: Final answer
    x = 145,314.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.