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Finding the Third Proportional to 85,696 and 186,624

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Solution

The third proportional to 85,696 and 186,624 is: 406,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,696 : 186,624 = 186,624 : x
  2. Step 2: Convert to fraction form
    85,696/186,624 = 186,624/x
  3. Step 3: Cross multiply
    85,696x = 186,624 × 186,624
  4. Step 4: Simplify right side
    85,696x = 34,828,517,376
  5. Step 5: Solve for x
    x = 34,828,517,376/85,696
  6. Step 6: Final answer
    x = 406,419.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.