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Finding the Third Proportional to 34,260 and 74,406

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Solution

The third proportional to 34,260 and 74,406 is: 161,595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,260 : 74,406 = 74,406 : x
  2. Step 2: Convert to fraction form
    34,260/74,406 = 74,406/x
  3. Step 3: Cross multiply
    34,260x = 74,406 × 74,406
  4. Step 4: Simplify right side
    34,260x = 5,536,252,836
  5. Step 5: Solve for x
    x = 5,536,252,836/34,260
  6. Step 6: Final answer
    x = 161,595.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.