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Finding the Third Proportional to 34,499 and 73,918

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Solution

The third proportional to 34,499 and 73,918 is: 158,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,499 : 73,918 = 73,918 : x
  2. Step 2: Convert to fraction form
    34,499/73,918 = 73,918/x
  3. Step 3: Cross multiply
    34,499x = 73,918 × 73,918
  4. Step 4: Simplify right side
    34,499x = 5,463,870,724
  5. Step 5: Solve for x
    x = 5,463,870,724/34,499
  6. Step 6: Final answer
    x = 158,377.66

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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.