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Finding the Third Proportional to 34,502 and 73,924

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Solution

The third proportional to 34,502 and 73,924 is: 158,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,502 : 73,924 = 73,924 : x
  2. Step 2: Convert to fraction form
    34,502/73,924 = 73,924/x
  3. Step 3: Cross multiply
    34,502x = 73,924 × 73,924
  4. Step 4: Simplify right side
    34,502x = 5,464,757,776
  5. Step 5: Solve for x
    x = 5,464,757,776/34,502
  6. Step 6: Final answer
    x = 158,389.59

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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.