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Finding the Third Proportional to 42,253 and 92,767

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Solution

The third proportional to 42,253 and 92,767 is: 203,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,253 : 92,767 = 92,767 : x
  2. Step 2: Convert to fraction form
    42,253/92,767 = 92,767/x
  3. Step 3: Cross multiply
    42,253x = 92,767 × 92,767
  4. Step 4: Simplify right side
    42,253x = 8,605,716,289
  5. Step 5: Solve for x
    x = 8,605,716,289/42,253
  6. Step 6: Final answer
    x = 203,671.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.