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Finding the Third Proportional to 34,134 and 74,454

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Solution

The third proportional to 34,134 and 74,454 is: 162,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,134 : 74,454 = 74,454 : x
  2. Step 2: Convert to fraction form
    34,134/74,454 = 74,454/x
  3. Step 3: Cross multiply
    34,134x = 74,454 × 74,454
  4. Step 4: Simplify right side
    34,134x = 5,543,398,116
  5. Step 5: Solve for x
    x = 5,543,398,116/34,134
  6. Step 6: Final answer
    x = 162,401.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.