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Finding the Third Proportional to 42,508 and 92,248

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Solution

The third proportional to 42,508 and 92,248 is: 200,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,508 : 92,248 = 92,248 : x
  2. Step 2: Convert to fraction form
    42,508/92,248 = 92,248/x
  3. Step 3: Cross multiply
    42,508x = 92,248 × 92,248
  4. Step 4: Simplify right side
    42,508x = 8,509,693,504
  5. Step 5: Solve for x
    x = 8,509,693,504/42,508
  6. Step 6: Final answer
    x = 200,190.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.