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Finding the Third Proportional to 34,042 and 74,545

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Solution

The third proportional to 34,042 and 74,545 is: 163,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,042 : 74,545 = 74,545 : x
  2. Step 2: Convert to fraction form
    34,042/74,545 = 74,545/x
  3. Step 3: Cross multiply
    34,042x = 74,545 × 74,545
  4. Step 4: Simplify right side
    34,042x = 5,556,957,025
  5. Step 5: Solve for x
    x = 5,556,957,025/34,042
  6. Step 6: Final answer
    x = 163,238.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.