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Finding the Third Proportional to 85,098 and 186,051

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Solution

The third proportional to 85,098 and 186,051 is: 406,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,098 : 186,051 = 186,051 : x
  2. Step 2: Convert to fraction form
    85,098/186,051 = 186,051/x
  3. Step 3: Cross multiply
    85,098x = 186,051 × 186,051
  4. Step 4: Simplify right side
    85,098x = 34,614,974,601
  5. Step 5: Solve for x
    x = 34,614,974,601/85,098
  6. Step 6: Final answer
    x = 406,766.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.