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Finding the Third Proportional to 80,570 and 172,806

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Solution

The third proportional to 80,570 and 172,806 is: 370,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,570 : 172,806 = 172,806 : x
  2. Step 2: Convert to fraction form
    80,570/172,806 = 172,806/x
  3. Step 3: Cross multiply
    80,570x = 172,806 × 172,806
  4. Step 4: Simplify right side
    80,570x = 29,861,913,636
  5. Step 5: Solve for x
    x = 29,861,913,636/80,570
  6. Step 6: Final answer
    x = 370,633.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.