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Finding the Third Proportional to 34,454 and 70,370

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Solution

The third proportional to 34,454 and 70,370 is: 143,726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,454 : 70,370 = 70,370 : x
  2. Step 2: Convert to fraction form
    34,454/70,370 = 70,370/x
  3. Step 3: Cross multiply
    34,454x = 70,370 × 70,370
  4. Step 4: Simplify right side
    34,454x = 4,951,936,900
  5. Step 5: Solve for x
    x = 4,951,936,900/34,454
  6. Step 6: Final answer
    x = 143,726.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.