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Finding the Third Proportional to 40,886 and 90,507

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Solution

The third proportional to 40,886 and 90,507 is: 200,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,886 : 90,507 = 90,507 : x
  2. Step 2: Convert to fraction form
    40,886/90,507 = 90,507/x
  3. Step 3: Cross multiply
    40,886x = 90,507 × 90,507
  4. Step 4: Simplify right side
    40,886x = 8,191,517,049
  5. Step 5: Solve for x
    x = 8,191,517,049/40,886
  6. Step 6: Final answer
    x = 200,350.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.