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Finding the Third Proportional to 91,080 and 186,696

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Solution

The third proportional to 91,080 and 186,696 is: 382,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,080 : 186,696 = 186,696 : x
  2. Step 2: Convert to fraction form
    91,080/186,696 = 186,696/x
  3. Step 3: Cross multiply
    91,080x = 186,696 × 186,696
  4. Step 4: Simplify right side
    91,080x = 34,855,396,416
  5. Step 5: Solve for x
    x = 34,855,396,416/91,080
  6. Step 6: Final answer
    x = 382,689.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.