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Finding the Third Proportional to 32,907 and 72,373

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Solution

The third proportional to 32,907 and 72,373 is: 159,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,907 : 72,373 = 72,373 : x
  2. Step 2: Convert to fraction form
    32,907/72,373 = 72,373/x
  3. Step 3: Cross multiply
    32,907x = 72,373 × 72,373
  4. Step 4: Simplify right side
    32,907x = 5,237,851,129
  5. Step 5: Solve for x
    x = 5,237,851,129/32,907
  6. Step 6: Final answer
    x = 159,171.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.