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Finding the Third Proportional to 34,010 and 73,600

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Solution

The third proportional to 34,010 and 73,600 is: 159,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,010 : 73,600 = 73,600 : x
  2. Step 2: Convert to fraction form
    34,010/73,600 = 73,600/x
  3. Step 3: Cross multiply
    34,010x = 73,600 × 73,600
  4. Step 4: Simplify right side
    34,010x = 5,416,960,000
  5. Step 5: Solve for x
    x = 5,416,960,000/34,010
  6. Step 6: Final answer
    x = 159,275.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.