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Finding the Third Proportional to 42,295 and 92,124

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Solution

The third proportional to 42,295 and 92,124 is: 200,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,295 : 92,124 = 92,124 : x
  2. Step 2: Convert to fraction form
    42,295/92,124 = 92,124/x
  3. Step 3: Cross multiply
    42,295x = 92,124 × 92,124
  4. Step 4: Simplify right side
    42,295x = 8,486,831,376
  5. Step 5: Solve for x
    x = 8,486,831,376/42,295
  6. Step 6: Final answer
    x = 200,658.03

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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.