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Finding the Third Proportional to 85,062 and 198,681

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Solution

The third proportional to 85,062 and 198,681 is: 464,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,062 : 198,681 = 198,681 : x
  2. Step 2: Convert to fraction form
    85,062/198,681 = 198,681/x
  3. Step 3: Cross multiply
    85,062x = 198,681 × 198,681
  4. Step 4: Simplify right side
    85,062x = 39,474,139,761
  5. Step 5: Solve for x
    x = 39,474,139,761/85,062
  6. Step 6: Final answer
    x = 464,063.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.