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Finding the Third Proportional to 42,219 and 92,214

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Solution

The third proportional to 42,219 and 92,214 is: 201,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,219 : 92,214 = 92,214 : x
  2. Step 2: Convert to fraction form
    42,219/92,214 = 92,214/x
  3. Step 3: Cross multiply
    42,219x = 92,214 × 92,214
  4. Step 4: Simplify right side
    42,219x = 8,503,421,796
  5. Step 5: Solve for x
    x = 8,503,421,796/42,219
  6. Step 6: Final answer
    x = 201,412.20

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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.