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Finding the Third Proportional to 34,141 and 71,498

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Solution

The third proportional to 34,141 and 71,498 is: 149,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141 : 71,498 = 71,498 : x
  2. Step 2: Convert to fraction form
    34,141/71,498 = 71,498/x
  3. Step 3: Cross multiply
    34,141x = 71,498 × 71,498
  4. Step 4: Simplify right side
    34,141x = 5,111,964,004
  5. Step 5: Solve for x
    x = 5,111,964,004/34,141
  6. Step 6: Final answer
    x = 149,730.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.