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Finding the Third Proportional to 34,146 and 74,519

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Solution

The third proportional to 34,146 and 74,519 is: 162,627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,146 : 74,519 = 74,519 : x
  2. Step 2: Convert to fraction form
    34,146/74,519 = 74,519/x
  3. Step 3: Cross multiply
    34,146x = 74,519 × 74,519
  4. Step 4: Simplify right side
    34,146x = 5,553,081,361
  5. Step 5: Solve for x
    x = 5,553,081,361/34,146
  6. Step 6: Final answer
    x = 162,627.58

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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.