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Finding the Third Proportional to 85,241 and 187,101

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Solution

The third proportional to 85,241 and 187,101 is: 410,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,241 : 187,101 = 187,101 : x
  2. Step 2: Convert to fraction form
    85,241/187,101 = 187,101/x
  3. Step 3: Cross multiply
    85,241x = 187,101 × 187,101
  4. Step 4: Simplify right side
    85,241x = 35,006,784,201
  5. Step 5: Solve for x
    x = 35,006,784,201/85,241
  6. Step 6: Final answer
    x = 410,680.12

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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.