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Finding the Third Proportional to 32,652 and 68,130

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Solution

The third proportional to 32,652 and 68,130 is: 142,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652 : 68,130 = 68,130 : x
  2. Step 2: Convert to fraction form
    32,652/68,130 = 68,130/x
  3. Step 3: Cross multiply
    32,652x = 68,130 × 68,130
  4. Step 4: Simplify right side
    32,652x = 4,641,696,900
  5. Step 5: Solve for x
    x = 4,641,696,900/32,652
  6. Step 6: Final answer
    x = 142,156.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.