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Finding the Third Proportional to 42,464 and 92,310

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Solution

The third proportional to 42,464 and 92,310 is: 200,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,464 : 92,310 = 92,310 : x
  2. Step 2: Convert to fraction form
    42,464/92,310 = 92,310/x
  3. Step 3: Cross multiply
    42,464x = 92,310 × 92,310
  4. Step 4: Simplify right side
    42,464x = 8,521,136,100
  5. Step 5: Solve for x
    x = 8,521,136,100/42,464
  6. Step 6: Final answer
    x = 200,667.30

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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.