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Finding the Third Proportional to 34,101 and 72,939

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Solution

The third proportional to 34,101 and 72,939 is: 156,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,101 : 72,939 = 72,939 : x
  2. Step 2: Convert to fraction form
    34,101/72,939 = 72,939/x
  3. Step 3: Cross multiply
    34,101x = 72,939 × 72,939
  4. Step 4: Simplify right side
    34,101x = 5,320,097,721
  5. Step 5: Solve for x
    x = 5,320,097,721/34,101
  6. Step 6: Final answer
    x = 156,010.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.