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Finding the Third Proportional to 42,236 and 92,392

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Solution

The third proportional to 42,236 and 92,392 is: 202,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,236 : 92,392 = 92,392 : x
  2. Step 2: Convert to fraction form
    42,236/92,392 = 92,392/x
  3. Step 3: Cross multiply
    42,236x = 92,392 × 92,392
  4. Step 4: Simplify right side
    42,236x = 8,536,281,664
  5. Step 5: Solve for x
    x = 8,536,281,664/42,236
  6. Step 6: Final answer
    x = 202,109.14

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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.