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Finding the Third Proportional to 34,532 and 72,520

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Solution

The third proportional to 34,532 and 72,520 is: 152,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,532 : 72,520 = 72,520 : x
  2. Step 2: Convert to fraction form
    34,532/72,520 = 72,520/x
  3. Step 3: Cross multiply
    34,532x = 72,520 × 72,520
  4. Step 4: Simplify right side
    34,532x = 5,259,150,400
  5. Step 5: Solve for x
    x = 5,259,150,400/34,532
  6. Step 6: Final answer
    x = 152,297.88

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.