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Finding the Third Proportional to 42,416 and 92,203

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Solution

The third proportional to 42,416 and 92,203 is: 200,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,416 : 92,203 = 92,203 : x
  2. Step 2: Convert to fraction form
    42,416/92,203 = 92,203/x
  3. Step 3: Cross multiply
    42,416x = 92,203 × 92,203
  4. Step 4: Simplify right side
    42,416x = 8,501,393,209
  5. Step 5: Solve for x
    x = 8,501,393,209/42,416
  6. Step 6: Final answer
    x = 200,428.92

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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.