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Finding the Third Proportional to 85,098 and 185,121

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Solution

The third proportional to 85,098 and 185,121 is: 402,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,098 : 185,121 = 185,121 : x
  2. Step 2: Convert to fraction form
    85,098/185,121 = 185,121/x
  3. Step 3: Cross multiply
    85,098x = 185,121 × 185,121
  4. Step 4: Simplify right side
    85,098x = 34,269,784,641
  5. Step 5: Solve for x
    x = 34,269,784,641/85,098
  6. Step 6: Final answer
    x = 402,709.64

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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.