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Finding the Third Proportional to 92,190 and 201,065

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Solution

The third proportional to 92,190 and 201,065 is: 438,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,190 : 201,065 = 201,065 : x
  2. Step 2: Convert to fraction form
    92,190/201,065 = 201,065/x
  3. Step 3: Cross multiply
    92,190x = 201,065 × 201,065
  4. Step 4: Simplify right side
    92,190x = 40,427,134,225
  5. Step 5: Solve for x
    x = 40,427,134,225/92,190
  6. Step 6: Final answer
    x = 438,519.73

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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.