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Finding the Third Proportional to 34,536 and 76,331

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Solution

The third proportional to 34,536 and 76,331 is: 168,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,536 : 76,331 = 76,331 : x
  2. Step 2: Convert to fraction form
    34,536/76,331 = 76,331/x
  3. Step 3: Cross multiply
    34,536x = 76,331 × 76,331
  4. Step 4: Simplify right side
    34,536x = 5,826,421,561
  5. Step 5: Solve for x
    x = 5,826,421,561/34,536
  6. Step 6: Final answer
    x = 168,705.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.