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Finding the Third Proportional to 85,318 and 186,164

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Solution

The third proportional to 85,318 and 186,164 is: 406,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,318 : 186,164 = 186,164 : x
  2. Step 2: Convert to fraction form
    85,318/186,164 = 186,164/x
  3. Step 3: Cross multiply
    85,318x = 186,164 × 186,164
  4. Step 4: Simplify right side
    85,318x = 34,657,034,896
  5. Step 5: Solve for x
    x = 34,657,034,896/85,318
  6. Step 6: Final answer
    x = 406,210.12

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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.