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Finding the Third Proportional to 92,062 and 201,692

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Solution

The third proportional to 92,062 and 201,692 is: 441,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,062 : 201,692 = 201,692 : x
  2. Step 2: Convert to fraction form
    92,062/201,692 = 201,692/x
  3. Step 3: Cross multiply
    92,062x = 201,692 × 201,692
  4. Step 4: Simplify right side
    92,062x = 40,679,662,864
  5. Step 5: Solve for x
    x = 40,679,662,864/92,062
  6. Step 6: Final answer
    x = 441,872.46

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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.