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Finding the Third Proportional to 80,964 and 170,730

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Solution

The third proportional to 80,964 and 170,730 is: 360,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,964 : 170,730 = 170,730 : x
  2. Step 2: Convert to fraction form
    80,964/170,730 = 170,730/x
  3. Step 3: Cross multiply
    80,964x = 170,730 × 170,730
  4. Step 4: Simplify right side
    80,964x = 29,148,732,900
  5. Step 5: Solve for x
    x = 29,148,732,900/80,964
  6. Step 6: Final answer
    x = 360,020.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.