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Finding the Third Proportional to 79,566 and 171,585

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Solution

The third proportional to 79,566 and 171,585 is: 370,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,566 : 171,585 = 171,585 : x
  2. Step 2: Convert to fraction form
    79,566/171,585 = 171,585/x
  3. Step 3: Cross multiply
    79,566x = 171,585 × 171,585
  4. Step 4: Simplify right side
    79,566x = 29,441,412,225
  5. Step 5: Solve for x
    x = 29,441,412,225/79,566
  6. Step 6: Final answer
    x = 370,025.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.