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Finding the Third Proportional to 92,152 and 201,617

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Solution

The third proportional to 92,152 and 201,617 is: 441,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,152 : 201,617 = 201,617 : x
  2. Step 2: Convert to fraction form
    92,152/201,617 = 201,617/x
  3. Step 3: Cross multiply
    92,152x = 201,617 × 201,617
  4. Step 4: Simplify right side
    92,152x = 40,649,414,689
  5. Step 5: Solve for x
    x = 40,649,414,689/92,152
  6. Step 6: Final answer
    x = 441,112.67

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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.