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Finding the Third Proportional to 85,283 and 186,094

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Solution

The third proportional to 85,283 and 186,094 is: 406,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,283 : 186,094 = 186,094 : x
  2. Step 2: Convert to fraction form
    85,283/186,094 = 186,094/x
  3. Step 3: Cross multiply
    85,283x = 186,094 × 186,094
  4. Step 4: Simplify right side
    85,283x = 34,630,976,836
  5. Step 5: Solve for x
    x = 34,630,976,836/85,283
  6. Step 6: Final answer
    x = 406,071.28

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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.