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Finding the Third Proportional to 42,294 and 92,122

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Solution

The third proportional to 42,294 and 92,122 is: 200,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,294 : 92,122 = 92,122 : x
  2. Step 2: Convert to fraction form
    42,294/92,122 = 92,122/x
  3. Step 3: Cross multiply
    42,294x = 92,122 × 92,122
  4. Step 4: Simplify right side
    42,294x = 8,486,462,884
  5. Step 5: Solve for x
    x = 8,486,462,884/42,294
  6. Step 6: Final answer
    x = 200,654.06

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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.